Algebra Solver and Math Simplifier that SHOWS WORK

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Expression Simplifier and Solver
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  • Graphical form: %28x-2%29%2A%28x-5%29%2A%28x7%29 simplifies to x7%2Ax%5E2-7%2Ax7%2Ax%2Bx7%2A10
  • Text form: (x-2)*(x-5)*(x7) simplifies to x7*x^2-7*x7*x+x7*10
  • Cartoon (animation) form: simplify_cartoon%28+%28x-2%29%2A%28x-5%29%2A%28x7%29+%29
    For tutors: simplify_cartoon( (x-2)*(x-5)*(x7) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28x-2%29%2A%28x-5%29%2A%28highlight_red%28+x7+%29%29+%29.
Remove unneeded parentheses around factor highlight_red%28+x7+%29
It becomes %28x-2%29%2A%28x-5%29%2Ahighlight_green%28+x7+%29.
Look at highlight_red%28+%28x-2%29%2A%28x-5%29%2Ax7+%29.
Expanded term %28x-5%29%2Ax7 by using associative property on %28x-2%29
It becomes highlight_green%28+%28x-5%29%2Ax7%2Ax+%29-highlight_green%28+%28x-5%29%2Ax7%2A2+%29.
Look at highlight_red%28+%28x-5%29%2Ax7%2Ax+%29-%28x-5%29%2Ax7%2A2.
Expanded term x7%2Ax by using associative property on %28x-5%29
It becomes highlight_green%28+x7%2Ax%2Ax+%29-highlight_green%28+x7%2Ax%2A5+%29-%28x-5%29%2Ax7%2A2.
Look at x7%2Ahighlight_red%28+x+%29%2Ahighlight_red%28+x+%29-x7%2Ax%2A5-%28x-5%29%2Ax7%2A2.
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E2+%29
It becomes x7%2Ahighlight_green%28+x%5E2+%29-x7%2Ax%2A5-%28x-5%29%2Ax7%2A2.
Look at x7%2Ax%5E2-x7%2Ax%2A5-highlight_red%28+%28x-5%29%2Ax7%2A2+%29.
Expanded term -x7%2A2 by using associative property on %28x-5%29
It becomes x7%2Ax%5E2-x7%2Ax%2A5-highlight_green%28+x7%2A2%2Ax+%29%2Bhighlight_green%28+x7%2A2%2A5+%29.
Look at x7%2Ax%5E2-x7%2Ax%2A5-x7%2A2%2Ax%2Bx7%2Ahighlight_red%28+2+%29%2Ahighlight_red%28+5+%29.
Multiplied numerator integers
It becomes x7%2Ax%5E2-x7%2Ax%2A5-x7%2A2%2Ax%2Bx7%2Ahighlight_green%28+10+%29.
Look at x7%2Ax%5E2-highlight_red%28+x7%2Ax%2A5+%29-highlight_red%28+x7%2A2%2Ax+%29%2Bx7%2A10.
Eliminated similar terms highlight_red%28+-x7%2Ax%2A5+%29,highlight_red%28+-x7%2A2%2Ax+%29 replacing them with highlight_green%28+%28-5-2%29%2Ax7%2Ax+%29
It becomes x7%2Ax%5E2%2Bhighlight_green%28+%28-5-2%29%2Ax7%2Ax+%29%2Bx7%2A10.
Look at x7%2Ax%5E2%2B%28-highlight_red%28+5+%29-highlight_red%28+2+%29%29%2Ax7%2Ax%2Bx7%2A10.
Added fractions or integers together
It becomes x7%2Ax%5E2%2B%28highlight_green%28+-7+%29%29%2Ax7%2Ax%2Bx7%2A10.
Look at x7%2Ax%5E2%2B%28highlight_red%28+-7+%29%29%2Ax7%2Ax%2Bx7%2A10.
Removed extra sign in front of -7
It becomes x7%2Ax%5E2%2B%28-highlight_green%28+7+%29%29%2Ax7%2Ax%2Bx7%2A10.
Look at x7%2Ax%5E2%2Bhighlight_red%28+%28-highlight_red%28+7+%29%29%2Ax7%2Ax+%29%2Bx7%2A10.
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes x7%2Ax%5E2-highlight_green%28+7+%29%2Ax7%2Ax%2Bx7%2A10.
Result: x7%2Ax%5E2-7%2Ax7%2Ax%2Bx7%2A10

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 37280885 times.