Algebra Solver and Math Simplifier that SHOWS WORK

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Expression Simplifier and Solver
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YOUR ANSWER


  • Graphical form: 15%2Ad%5E2%2B%282-d%29%2A4%2Ad simplifies to 11%2Ad%5E2%2B8%2Ad
  • Text form: 15*d^2+(2-d)*4*d simplifies to 11*d^2+8*d
  • Cartoon (animation) form: simplify_cartoon%28+15%2Ad%5E2%2B%282-d%29%2A4%2Ad+%29
    For tutors: simplify_cartoon( 15*d^2+(2-d)*4*d )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 15%2Ad%5E2%2B%28highlight_red%28+2+%29-d%29%2A4%2Ad.
Moved 2 to the right of expression
It becomes 15%2Ad%5E2%2B%28-d%2Bhighlight_green%28+2+%29%29%2A4%2Ad.
Look at 15%2Ad%5E2%2Bhighlight_red%28+%28-d%2B2%29%2A4%2Ad+%29.
Expanded term 4%2Ad by using associative property on %28-d%2B2%29
It becomes 15%2Ad%5E2-highlight_green%28+4%2Ad%2Ad+%29%2Bhighlight_green%28+4%2Ad%2A2+%29.
Look at 15%2Ad%5E2-4%2Ad%2Ad%2Bhighlight_red%28+4+%29%2Ad%2Ahighlight_red%28+2+%29.
Multiplied numerator integers
It becomes 15%2Ad%5E2-4%2Ad%2Ad%2Bhighlight_green%28+8+%29%2Ad.
Look at 15%2Ad%5E2-4%2Ahighlight_red%28+d+%29%2Ahighlight_red%28+d+%29%2B8%2Ad.
Reduce similar several occurrences of highlight_red%28+d+%29 to highlight_green%28+d%5E2+%29
It becomes 15%2Ad%5E2-4%2Ahighlight_green%28+d%5E2+%29%2B8%2Ad.
Look at highlight_red%28+15%2Ad%5E2+%29-highlight_red%28+4%2Ad%5E2+%29%2B8%2Ad.
Eliminated similar terms highlight_red%28+15%2Ad%5E2+%29,highlight_red%28+-4%2Ad%5E2+%29 replacing them with highlight_green%28+%2815-4%29%2Ad%5E2+%29
It becomes highlight_green%28+%2815-4%29%2Ad%5E2+%29%2B8%2Ad.
Look at %28highlight_red%28+15+%29-highlight_red%28+4+%29%29%2Ad%5E2%2B8%2Ad.
Added fractions or integers together
It becomes %28highlight_green%28+11+%29%29%2Ad%5E2%2B8%2Ad.
Look at highlight_red%28+%28highlight_red%28+11+%29%29%2Ad%5E2+%29%2B8%2Ad.
Remove unneeded parentheses around factor highlight_red%28+11+%29
It becomes highlight_green%28+11+%29%2Ad%5E2%2B8%2Ad.
Result: 11%2Ad%5E2%2B8%2Ad

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 37268197 times.