Algebra Solver and Math Simplifier that SHOWS WORK

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Expression Simplifier and Solver
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  • Graphical form: simplifies to
  • Text form: (x^2-100/x^2+12*x+20)*(x^2+20*x+100/x-10)=18*x+99/x+2 simplifies to x^(4)+32*x^(3)+362*x+250*x^2-(x+20)*100/x+1901/x+998=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (x^2-100/x^2+12*x+20)*(x^2+20*x+100/x-10)=18*x+99/x+2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-18%2Ax+%29,highlight_green%28+-99%2Fx+%29,highlight_green%28+-2+%29
It becomes .
Look at .
Expanded term %28x%5E2%2B20%2Ax%2B100%2Fx-10%29 by using associative property on %28x%5E2-100%2Fx%5E2%2B12%2Ax%2B20%29
It becomes .
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Canceled out common factors (x-(0))
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Remove unneeded parentheses around factor highlight_red%28+1%2Fx+%29
It becomes .
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Expanded term x%5E2 by using associative property on %28x%5E2%2B20%2Ax%2B100%2Fx-10%29
It becomes .
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Reduce similar several occurrences of highlight_red%28+x%5E2+%29 to highlight_green%28+x%5E%282%2B2%29+%29
It becomes .
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Reduce similar several occurrences of highlight_red%28+x%5E2+%29 to highlight_green%28+x%5E%281%2B2%29+%29
It becomes .
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Reduce similar several occurrences of highlight_red%28+x%5E2+%29 to highlight_green%28+x%5E%28-1%2B2%29+%29
It becomes .
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Removed extra sign in front of -1
It becomes .
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Added fractions or integers together
It becomes .
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Added fractions or integers together
It becomes .
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Added fractions or integers together
It becomes .
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Removing power of one highlight_red%28+%281%29+%29
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Eliminated similar terms highlight_red%28+x%2A100+%29,highlight_red%28+-18%2Ax+%29 replacing them with highlight_green%28+%28100-18%29%2Ax+%29
It becomes .
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Added fractions or integers together
It becomes .
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Remove unneeded parentheses around factor highlight_red%28+82+%29
It becomes .
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Expanded term 12%2Ax by using associative property on %28x%5E2%2B20%2Ax%2B100%2Fx-10%29
It becomes .
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Multiplied numerator integers
It becomes .
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Multiplied numerator integers
It becomes .
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Multiplied numerator integers
It becomes .
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Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E%281%2B2%29+%29
It becomes .
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Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E2+%29
It becomes .
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Reduce similar several occurrences of highlight_red%28+x+%29 to
It becomes .
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Moved 1200 to the right of expression
It becomes .
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Added fractions or integers together
It becomes .
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Added fractions or integers together
It becomes .
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Eliminated similar terms highlight_red%28+x%5E%283%29%2A20+%29,highlight_red%28+12%2Ax%5E%283%29+%29 replacing them with highlight_green%28+%2820%2B12%29%2Ax%5E%283%29+%29
It becomes .
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Eliminated similar terms highlight_red%28+82%2Ax+%29,highlight_red%28+-120%2Ax+%29 replacing them with highlight_green%28+%2882-120%29%2Ax+%29
It becomes .
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Eliminated similar terms highlight_red%28+-x%5E2%2A10+%29,highlight_red%28+240%2Ax%5E2+%29 replacing them with highlight_green%28+%28-10%2B240%29%2Ax%5E2+%29
It becomes .
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Added fractions or integers together
It becomes .
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Added fractions or integers together
It becomes .
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Added fractions or integers together
It becomes .
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Removed extra sign in front of -38
It becomes .
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Remove unneeded parentheses around factor highlight_red%28+32+%29
It becomes .
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Remove unneeded parentheses around factor highlight_red%28+38+%29
It becomes .
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Remove unneeded parentheses around factor highlight_red%28+230+%29
It becomes .
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Expanded term 20 by using associative property on %28x%5E2%2B20%2Ax%2B100%2Fx-10%29
It becomes .
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Multiplied numerator integers
It becomes .
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Multiplied numerator integers
It becomes .
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Multiplied numerator integers
It becomes .
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Added fractions or integers together
It becomes .
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Moved 998 to the right of expression
It becomes .
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Eliminated similar terms highlight_red%28+-38%2Ax+%29,highlight_red%28+400%2Ax+%29 replacing them with highlight_green%28+%28-38%2B400%29%2Ax+%29
It becomes .
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Eliminated similar terms highlight_red%28+230%2Ax%5E2+%29,highlight_red%28+20%2Ax%5E2+%29 replacing them with highlight_green%28+%28230%2B20%29%2Ax%5E2+%29
It becomes .
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Eliminated similar terms highlight_red%28+2000%2Fx+%29,highlight_red%28+-99%2Fx+%29 replacing them with highlight_green%28+%282000-99%29%2Fx+%29
It becomes .
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Added fractions or integers together
It becomes .
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Added fractions or integers together
It becomes .
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Added fractions or integers together
It becomes .
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Remove unneeded parentheses around factor highlight_red%28+362+%29
It becomes .
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Remove unneeded parentheses around factor highlight_red%28+250+%29
It becomes .
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Remove unneeded parentheses around factor highlight_red%28+1901+%29
It becomes .
Result:

Universal Simplifier and Solver

Welcome to Graphical Universal Mathematical Expression Simplifier and Algebra Solver (GUMESS).
It solves most middle school algebra equations and simplifies expressions, and it SHOWS ALL WORK. It is free to use.

Enter expression to be simplified, or equation to be solved.
I will figure out if what you typed is an equation.

Enter Expression ==>     
Examples: x^2-2x=-1, 3x-x-x+a-a=5, (x^2-1)/(x+1), 2x-(x+x)


Single letter variables only, no functions, xy means x*y, x(x-1) means x*(x-1), sin(x) means s*i*n*(x)


You must use the "*" (star) symbol for all multiplications! x(x+1) is WRONG! It means a function x of x-1. x*(x-1) is right. Use the ^ (caret) for exponentiation. x^2 means x squared. x/2y means x%2F2y
Resources: Simplifier Portal, help with entering simplifier formulas (a must read).


Or, click on any of these examples: 1, 2-1, 2%5E2-4%5E1, %281%29, -%28-1%29, %28%28%28%28x%29%29%29%29-x, -%28-%28-%28-%28-%28x%29%29%29%29%29%2Bx, %28%28%28%28x%29%29%29%29-y%2Ax%2A2%2Fy, %28x%2B1%29%2F%28x%2B1%29, %281%2Bx%29%2F%28x%2B1%29, %281%2Bx%29%2F%282%2A%28x%2B1%29%29, x-x%2Bx, x%2A%28y%2Az%29+-+%28x%2Ay%29%2Az, %28x-1%29%2A%28y-1%29-%28y-1%29%2A%28x-1%29, %28x-1%29%2A%28y-1%29-%28%28y-1%29%2Fx%29%5E%282-1%29%2A%28x-1%29%2Ax, 2%2A2%2A2%5E2%2Ax-x, 1%2F%282%2Bx%2Ay-y%2Ax%5E2%2F%28x%2B0%29%29, x%5E%28y%2Bz%29-x%5E%28z%2By%29, x-x%2F2, x=x, x%2B1=2, 0=5-x-7, %28x%5E2-x-2%29%2F%28%28x%2B1%29%2F%282x%2B2%29%29=0, %28x-1%29%28x-2%29%2F%28x%2B1%29=0, %28x%5E2-x-2%29=0, %28x%5E2-x-2%29%2A%28x%5E2-x-2%29%2F%28x%5E2%2B2%2Ax%2B1%29%2F%28x%5E2-4%2Ax%2B4%29, %28x%5E3-x%29%2Fx=0, %28x-1%29%2Fx=0, %282x%5E4-2%29%2F%28x-1%29=0, x%5E5-x%5E3=0, %28x-3%29%2A%28x%5E6-2x%5E3%2B1%29=0, , x%2A%28x-1%29%28x%2B1%29%2A%28x%5E3%2Bx%29, %28x-1%29%28x%2B1%29-3=0, %28x%5E2-1%29%28x%5E2%2B1%29-15=0, 1%2Fx%5E-1, x%2Fa%5E%28-5%29, x%2Aa%5E%28-5%29, x%5E-1, 2%2F6, 1%2F2-2%2F3, 1%2F2-1, 1%2F2-1%2B1%2F10, 1%2F2%2B2%2F3, 1%2F3%2B0.51, 1%2F3%2B0.5, x-x%2F3, 0.5x-x%2F3, 0.5x-2%2Ax%2F3, 1%2F2%2B1%2F3%2B1%2F6, %282x%2B2y%29%2F2, %28%28-4%2B10%29-%28-2%2B14%29%29%2F2%2A%282%29.
Please write to Igor Chudov, ichudov @ algebra.com, with questions or suggestions.

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This simplifier has been used 37255946 times.