Algebra Solver and Math Simplifier that SHOWS WORK

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Expression Simplifier and Solver
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  • Graphical form: 7%2A%282%2Ax%2B2%29-9%2A%28-1%2B6%2Ax%29 simplifies to -40%2Ax%2B23
  • Text form: 7*(2*x+2)-9*(-1+6*x) simplifies to -40*x+23
  • Cartoon (animation) form: simplify_cartoon%28+7%2A%282%2Ax%2B2%29-9%2A%28-1%2B6%2Ax%29+%29
    For tutors: simplify_cartoon( 7*(2*x+2)-9*(-1+6*x) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 7%2A%282%2Ax%2B2%29-9%2A%28-highlight_red%28+1+%29%2B6%2Ax%29.
Moved -1 to the right of expression
It becomes 7%2A%282%2Ax%2B2%29-9%2A%286%2Ax-highlight_green%28+1+%29%29.
Look at highlight_red%28+7%2A%282%2Ax%2B2%29+%29-9%2A%286%2Ax-1%29.
Expanded term 7 by using associative property on %282%2Ax%2B2%29
It becomes highlight_green%28+7%2A2%2Ax+%29%2Bhighlight_green%28+7%2A2+%29-9%2A%286%2Ax-1%29.
Look at highlight_red%28+7+%29%2Ahighlight_red%28+2+%29%2Ax%2B7%2A2-9%2A%286%2Ax-1%29.
Multiplied numerator integers
It becomes highlight_green%28+14+%29%2Ax%2B7%2A2-9%2A%286%2Ax-1%29.
Look at 14%2Ax%2Bhighlight_red%28+7+%29%2Ahighlight_red%28+2+%29-9%2A%286%2Ax-1%29.
Multiplied numerator integers
It becomes 14%2Ax%2Bhighlight_green%28+14+%29-9%2A%286%2Ax-1%29.
Look at 14%2Ax%2Bhighlight_red%28+14+%29-9%2A%286%2Ax-1%29.
Moved 14 to the right of expression
It becomes 14%2Ax-9%2A%286%2Ax-1%29%2Bhighlight_green%28+14+%29.
Look at 14%2Ax-highlight_red%28+9%2A%286%2Ax-1%29+%29%2B14.
Expanded term -9 by using associative property on %286%2Ax-1%29
It becomes 14%2Ax-highlight_green%28+9%2A6%2Ax+%29%2Bhighlight_green%28+9%2A1+%29%2B14.
Look at 14%2Ax-highlight_red%28+9+%29%2Ahighlight_red%28+6+%29%2Ax%2B9%2A1%2B14.
Multiplied numerator integers
It becomes 14%2Ax-highlight_green%28+54+%29%2Ax%2B9%2A1%2B14.
Look at 14%2Ax-54%2Ax%2Bhighlight_red%28+9+%29%2Ahighlight_red%28+1+%29%2B14.
Multiplied numerator integers
It becomes 14%2Ax-54%2Ax%2Bhighlight_green%28+9+%29%2B14.
Look at 14%2Ax-54%2Ax%2Bhighlight_red%28+9+%29%2Bhighlight_red%28+14+%29.
Added fractions or integers together
It becomes 14%2Ax-54%2Ax%2Bhighlight_green%28+23+%29.
Look at highlight_red%28+14%2Ax+%29-highlight_red%28+54%2Ax+%29%2B23.
Eliminated similar terms highlight_red%28+14%2Ax+%29,highlight_red%28+-54%2Ax+%29 replacing them with highlight_green%28+%2814-54%29%2Ax+%29
It becomes highlight_green%28+%2814-54%29%2Ax+%29%2B23.
Look at %28highlight_red%28+14+%29-highlight_red%28+54+%29%29%2Ax%2B23.
Added fractions or integers together
It becomes %28highlight_green%28+-40+%29%29%2Ax%2B23.
Look at %28highlight_red%28+-40+%29%29%2Ax%2B23.
Removed extra sign in front of -40
It becomes %28-highlight_green%28+40+%29%29%2Ax%2B23.
Look at highlight_red%28+%28-highlight_red%28+40+%29%29%2Ax+%29%2B23.
Remove unneeded parentheses around factor highlight_red%28+40+%29
It becomes -highlight_green%28+40+%29%2Ax%2B23.
Result: -40%2Ax%2B23

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 37280204 times.