Algebra Solver and Math Simplifier that SHOWS WORK

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Expression Simplifier and Solver
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  • Graphical form: 3%2F4%2A%285%2Ax%2B6%2Ay%29%2A17%2B85%2F2%2B4%2Ax-2%2Ay simplifies to 271%2F4%2Ax%2B149%2F2%2Ay%2B85%2F2
  • Text form: 3/4*(5*x+6*y)*17+85/2+4*x-2*y simplifies to 271/4*x+149/2*y+85/2
  • Cartoon (animation) form: simplify_cartoon%28+3%2F4%2A%285%2Ax%2B6%2Ay%29%2A17%2B85%2F2%2B4%2Ax-2%2Ay+%29
    For tutors: simplify_cartoon( 3/4*(5*x+6*y)*17+85/2+4*x-2*y )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Multiplied numerator integers
It becomes highlight_green%28+51+%29%2F4%2A%285%2Ax%2B6%2Ay%29%2B85%2F2%2B4%2Ax-2%2Ay.
Look at 51%2F4%2A%285%2Ax%2B6%2Ay%29%2Bhighlight_red%28+85%2F2+%29%2B4%2Ax-2%2Ay.
Moved 85%2F2 to the right of expression
It becomes 51%2F4%2A%285%2Ax%2B6%2Ay%29%2B4%2Ax-2%2Ay%2Bhighlight_green%28+85%2F2+%29.
Look at highlight_red%28+51%2F4%2A%285%2Ax%2B6%2Ay%29+%29%2B4%2Ax-2%2Ay%2B85%2F2.
Expanded term 51%2F4 by using associative property on %285%2Ax%2B6%2Ay%29
It becomes .
Look at .
Multiplied numerator integers
It becomes highlight_green%28+255+%29%2F4%2Ax%2B51%2F4%2A6%2Ay%2B4%2Ax-2%2Ay%2B85%2F2.
Look at .
Factors 6 and 4 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Multiplied numerator integers
It becomes 255%2F4%2Ax%2Bhighlight_green%28+153+%29%2F2%2Ay%2B4%2Ax-2%2Ay%2B85%2F2.
Look at highlight_red%28+255%2F4%2Ax+%29%2B153%2F2%2Ay%2Bhighlight_red%28+4%2Ax+%29-2%2Ay%2B85%2F2.
Eliminated similar terms highlight_red%28+255%2F4%2Ax+%29,highlight_red%28+4%2Ax+%29 replacing them with highlight_green%28+%28255%2A1%2F4%2B4%29%2Ax+%29
It becomes highlight_green%28+%28255%2A1%2F4%2B4%29%2Ax+%29%2B153%2F2%2Ay-2%2Ay%2B85%2F2.
Look at .
Eliminated similar terms highlight_red%28+153%2F2%2Ay+%29,highlight_red%28+-2%2Ay+%29 replacing them with highlight_green%28+%28153%2A1%2F2-2%29%2Ay+%29
It becomes %28255%2A1%2F4%2B4%29%2Ax%2Bhighlight_green%28+%28153%2A1%2F2-2%29%2Ay+%29%2B85%2F2.
Look at .
Multiplied numerator integers
It becomes %28highlight_green%28+255+%29%2F4%2B4%29%2Ax%2B%28153%2A1%2F2-2%29%2Ay%2B85%2F2.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+271%2F4+%29%29%2Ax%2B%28153%2A1%2F2-2%29%2Ay%2B85%2F2.
Look at .
Multiplied numerator integers
It becomes %28271%2F4%29%2Ax%2B%28highlight_green%28+153+%29%2F2-2%29%2Ay%2B85%2F2.
Look at %28271%2F4%29%2Ax%2B%28highlight_red%28+153%2F2+%29-highlight_red%28+2+%29%29%2Ay%2B85%2F2.
Added fractions or integers together
It becomes %28271%2F4%29%2Ax%2B%28highlight_green%28+149%2F2+%29%29%2Ay%2B85%2F2.
Look at highlight_red%28+%28highlight_red%28+271%2F4+%29%29%2Ax+%29%2B%28149%2F2%29%2Ay%2B85%2F2.
Remove unneeded parentheses around factor highlight_red%28+271+%29,highlight_red%28+1%2F4+%29
It becomes highlight_green%28+271+%29%2Fhighlight_green%28+4+%29%2Ax%2B%28149%2F2%29%2Ay%2B85%2F2.
Look at 271%2F4%2Ax%2Bhighlight_red%28+%28highlight_red%28+149%2F2+%29%29%2Ay+%29%2B85%2F2.
Remove unneeded parentheses around factor highlight_red%28+149+%29,highlight_red%28+1%2F2+%29
It becomes 271%2F4%2Ax%2Bhighlight_green%28+149+%29%2Fhighlight_green%28+2+%29%2Ay%2B85%2F2.
Result: 271%2F4%2Ax%2B149%2F2%2Ay%2B85%2F2

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 37280493 times.