Algebra Solver and Math Simplifier that SHOWS WORK

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Expression Simplifier and Solver
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YOUR ANSWER


  • Graphical form: %28%28-4%2B10%29-%28-2%2B14%29%29%2F2%2A%282%29 simplifies to -6
  • Text form: ((-4+10)-(-2+14))/2*(2) simplifies to -6
  • Cartoon (animation) form: simplify_cartoon%28+%28%28-4%2B10%29-%28-2%2B14%29%29%2F2%2A%282%29+%29
    For tutors: simplify_cartoon( ((-4+10)-(-2+14))/2*(2) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at %28highlight_red%28+%28-4%2B10%29+%29-%28-2%2B14%29%29%2F2%2A%282%29.
Remove unneeded parentheses around terms highlight_red%28+-4+%29,highlight_red%28+10+%29
It becomes %28-highlight_green%28+4+%29%2Bhighlight_green%28+10+%29-%28-2%2B14%29%29%2F2%2A%282%29.
Look at %28-4%2B10-highlight_red%28+%28-2%2B14%29+%29%29%2F2%2A%282%29.
Remove unneeded parentheses around terms highlight_red%28+2+%29,highlight_red%28+-14+%29
It becomes %28-4%2B10%2Bhighlight_green%28+2+%29-highlight_green%28+14+%29%29%2F2%2A%282%29.
Look at highlight_red%28+%28-4%2B10%2B2-14%29%2F2%2A%28highlight_red%28+2+%29%29+%29.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes %28-4%2B10%2B2-14%29%2F2%2Ahighlight_green%28+2+%29.
Look at %28-4%2B10%2B2-14%29%2Fhighlight_red%28+2+%29%2Ahighlight_red%28+2+%29.
Factors 2 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes %28-4%2B10%2B2-14%29%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+1+%29.
Look at %28-4%2B10%2B2-14%29%2Fhighlight_red%28+1+%29%2Ahighlight_red%28+1+%29.
Reduce similar several occurrences of highlight_red%28+1%2F1+%29 to
It becomes %28-4%2B10%2B2-14%29.
Look at highlight_red%28+%28-4%2B10%2B2-14%29+%29.
Removed extra sign in front of -6
It becomes -highlight_green%28+6+%29.
Result: -6

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 37252822 times.