Algebra Solver and Math Simplifier that SHOWS WORK

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Expression Simplifier and Solver
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  • Graphical form: 40%2Ax50%2A%285-x%29=210 simplifies to -40%2Ax50%2Ax%2B200%2Ax50-210=0
  • Text form: 40*x50*(5-x)=210 simplifies to -40*x50*x+200*x50-210=0
  • Cartoon (animation) form: simplify_cartoon%28+40%2Ax50%2A%285-x%29=210+%29
    For tutors: simplify_cartoon( 40*x50*(5-x)=210 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 40%2Ax50%2A%28highlight_red%28+5+%29-x%29=210.
Moved 5 to the right of expression
It becomes 40%2Ax50%2A%28-x%2Bhighlight_green%28+5+%29%29=210.
Look at 40%2Ax50%2A%28-x%2B5%29=highlight_red%28+210+%29.
Moved these terms to the left highlight_green%28+-210+%29
It becomes 40%2Ax50%2A%28-x%2B5%29-highlight_green%28+210+%29=0.
Look at highlight_red%28+40%2Ax50%2A%28-x%2B5%29+%29-210=0.
Expanded term 40%2Ax50 by using associative property on %28-x%2B5%29
It becomes -highlight_green%28+40%2Ax50%2Ax+%29%2Bhighlight_green%28+40%2Ax50%2A5+%29-210=0.
Look at -40%2Ax50%2Ax%2Bhighlight_red%28+40+%29%2Ax50%2Ahighlight_red%28+5+%29-210=0.
Multiplied numerator integers
It becomes -40%2Ax50%2Ax%2Bhighlight_green%28+200+%29%2Ax50-210=0.
Result: -40%2Ax50%2Ax%2B200%2Ax50-210=0

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 37280791 times.