Algebra Solver and Math Simplifier that SHOWS WORK

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YOUR ANSWER


  • This is an equation! Solutions: k=19.
  • Graphical form: Equation 10%2Ak-9=9%2Ak%2B10 was fully solved.
  • Text form: 10*k-9=9*k+10 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+10%2Ak-9=9%2Ak%2B10+%29
    For tutors: simplify_cartoon( 10*k-9=9*k+10 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 10%2Ak-9=highlight_red%28+9%2Ak%2B10+%29.
Moved these terms to the left highlight_green%28+-9%2Ak+%29,highlight_green%28+-10+%29
It becomes 10%2Ak-9-highlight_green%28+9%2Ak+%29-highlight_green%28+10+%29=0.
Look at 10%2Ak-highlight_red%28+9+%29-9%2Ak-highlight_red%28+10+%29=0.
Added fractions or integers together
It becomes 10%2Ak%2Bhighlight_green%28+-19+%29-9%2Ak=0.
Look at 10%2Ak%2Bhighlight_red%28+-19+%29-9%2Ak=0.
Moved -19 to the right of expression
It becomes 10%2Ak-9%2Ak%2Bhighlight_green%28+-19+%29=0.
Look at 10%2Ak-9%2Ak%2Bhighlight_red%28+-19+%29=0.
Removed extra sign in front of -19
It becomes 10%2Ak-9%2Ak-highlight_green%28+19+%29=0.
Look at highlight_red%28+10%2Ak+%29-highlight_red%28+9%2Ak+%29-19=0.
Eliminated similar terms highlight_red%28+10%2Ak+%29,highlight_red%28+-9%2Ak+%29 replacing them with highlight_green%28+%2810-9%29%2Ak+%29
It becomes highlight_green%28+%2810-9%29%2Ak+%29-19=0.
Look at highlight_red%28+%2810-9%29+%29%2Ak-19=0.
Remove extraneous '1' from product highlight_red%28+%2810-9%29+%29
It becomes k-19=0.
Look at highlight_red%28+k-19+%29=0.
Solved linear equation highlight_red%28+k-19=0+%29 equivalent to k-19 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: k=19.

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 37258733 times.