Algebra Solver and Math Simplifier that SHOWS WORK

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Expression Simplifier and Solver
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YOUR ANSWER


  • This is an equation! Solutions: a=11.
  • Graphical form: Equation %28a%2F22%29%2B%282%2Aa%29-%284.5%29=%281%29%2B%2817%2Aa%2F11%29 was fully solved.
  • Text form: (a/22)+(2*a)-(4.5)=(1)+(17*a/11) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%28a%2F22%29%2B%282%2Aa%29-%284.5%29=%281%29%2B%2817%2Aa%2F11%29+%29
    For tutors: simplify_cartoon( (a/22)+(2*a)-(4.5)=(1)+(17*a/11) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28a%2F22%29+%29%2B%282%2Aa%29-%284.5%29=%281%29%2B%2817%2Aa%2F11%29.
Remove unneeded parentheses around terms highlight_red%28+a%2F22+%29
It becomes highlight_green%28+a%2F22+%29%2B%282%2Aa%29-%284.5%29=%281%29%2B%2817%2Aa%2F11%29.
Look at a%2F22%2Bhighlight_red%28+%282%2Aa%29+%29-%284.5%29=%281%29%2B%2817%2Aa%2F11%29.
Remove unneeded parentheses around terms highlight_red%28+2%2Aa+%29
It becomes a%2F22%2Bhighlight_green%28+2%2Aa+%29-%284.5%29=%281%29%2B%2817%2Aa%2F11%29.
Look at a%2F22%2B2%2Aa-highlight_red%28+%284.5%29+%29=%281%29%2B%2817%2Aa%2F11%29.
Remove unneeded parentheses around terms highlight_red%28+-4.5+%29
It becomes a%2F22%2B2%2Aa-highlight_green%28+4.5+%29=%281%29%2B%2817%2Aa%2F11%29.
Look at highlight_red%28+a%2F22+%29%2Bhighlight_red%28+2%2Aa+%29-4.5=%281%29%2B%2817%2Aa%2F11%29.
Eliminated similar terms highlight_red%28+a%2F22+%29,highlight_red%28+2%2Aa+%29 replacing them with highlight_green%28+%281%2F22%2B2%29%2Aa+%29
It becomes highlight_green%28+%281%2F22%2B2%29%2Aa+%29-4.5=%281%29%2B%2817%2Aa%2F11%29.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+45%2F22+%29%29%2Aa-4.5=%281%29%2B%2817%2Aa%2F11%29.
Look at highlight_red%28+%28highlight_red%28+45%2F22+%29%29%2Aa+%29-4.5=%281%29%2B%2817%2Aa%2F11%29.
Remove unneeded parentheses around factor highlight_red%28+45+%29,highlight_red%28+1%2F22+%29
It becomes highlight_green%28+45+%29%2Fhighlight_green%28+22+%29%2Aa-4.5=%281%29%2B%2817%2Aa%2F11%29.
Look at 45%2F22%2Aa-4.5=highlight_red%28+%281%29+%29%2B%2817%2Aa%2F11%29.
Remove unneeded parentheses around terms highlight_red%28+1+%29
It becomes 45%2F22%2Aa-4.5=highlight_green%28+1+%29%2B%2817%2Aa%2F11%29.
Look at 45%2F22%2Aa-4.5=1%2Bhighlight_red%28+%2817%2Aa%2F11%29+%29.
Remove unneeded parentheses around terms highlight_red%28+17%2Aa%2F11+%29
It becomes 45%2F22%2Aa-4.5=1%2Bhighlight_green%28+17%2Aa%2F11+%29.
Look at 45%2F22%2Aa-4.5=highlight_red%28+1+%29%2B17%2Aa%2F11.
Moved 1 to the right of expression
It becomes 45%2F22%2Aa-4.5=17%2Aa%2F11%2Bhighlight_green%28+1+%29.
Look at 45%2F22%2Aa-4.5=highlight_red%28+17%2Aa%2F11%2B1+%29.
Moved these terms to the left highlight_green%28+-17%2Aa%2F11+%29,highlight_green%28+-1+%29
It becomes 45%2F22%2Aa-4.5-highlight_green%28+17%2Aa%2F11+%29-highlight_green%28+1+%29=0.
Look at 45%2F22%2Aa-highlight_red%28+4.5+%29-17%2Aa%2F11-highlight_red%28+1+%29=0.
Added fractions or integers together
It becomes 45%2F22%2Aa-highlight_green%28+55%2F10+%29-17%2Aa%2F11=0.
Look at 45%2F22%2Aa-highlight_red%28+55%2F10+%29-17%2Aa%2F11=0.
Moved -55%2F10 to the right of expression
It becomes 45%2F22%2Aa-17%2Aa%2F11-highlight_green%28+55%2F10+%29=0.
Look at 45%2F22%2Aa-17%2Aa%2F11-highlight_red%28+55+%29%2Fhighlight_red%28+10+%29=0.
Factors 55 and 10 have greatest common factor (GCF) of 5. Reducing fraction.
It becomes 45%2F22%2Aa-17%2Aa%2F11-highlight_green%28+11+%29%2Fhighlight_green%28+2+%29=0.
Look at highlight_red%28+45%2F22%2Aa+%29-highlight_red%28+17%2Aa%2F11+%29-11%2F2=0.
Eliminated similar terms highlight_red%28+45%2F22%2Aa+%29,highlight_red%28+-17%2Aa%2F11+%29 replacing them with highlight_green%28+%2845%2A1%2F22-17%2A1%2F11%29%2Aa+%29
It becomes highlight_green%28+%2845%2A1%2F22-17%2A1%2F11%29%2Aa+%29-11%2F2=0.
Look at %28highlight_red%28+45+%29%2Ahighlight_red%28+1+%29%2F22-17%2A1%2F11%29%2Aa-11%2F2=0.
Multiplied numerator integers
It becomes %28highlight_green%28+45+%29%2F22-17%2A1%2F11%29%2Aa-11%2F2=0.
Look at %2845%2F22-highlight_red%28+17+%29%2Ahighlight_red%28+1+%29%2F11%29%2Aa-11%2F2=0.
Multiplied numerator integers
It becomes %2845%2F22-highlight_green%28+17+%29%2F11%29%2Aa-11%2F2=0.
Look at %28highlight_red%28+45%2F22+%29-highlight_red%28+17%2F11+%29%29%2Aa-11%2F2=0.
Added fractions or integers together
It becomes %28highlight_green%28+11%2F22+%29%29%2Aa-11%2F2=0.
Look at highlight_red%28+%28highlight_red%28+11%2F22+%29%29%2Aa+%29-11%2F2=0.
Remove unneeded parentheses around factor highlight_red%28+11+%29,highlight_red%28+1%2F22+%29
It becomes highlight_green%28+11+%29%2Fhighlight_green%28+22+%29%2Aa-11%2F2=0.
Look at highlight_red%28+11+%29%2Fhighlight_red%28+22+%29%2Aa-11%2F2=0.
Factors 11 and 22 have greatest common factor (GCF) of 11. Reducing fraction.
It becomes highlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2Aa-11%2F2=0.
Look at highlight_red%28+1+%29%2F2%2Aa-11%2F2=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes a%2F2-11%2F2=0.
Look at highlight_red%28+a%2F2-11%2F2+%29=0.
Solved linear equation highlight_red%28+a%2F2-11%2F2=0+%29 equivalent to 0.5*a-5.5 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: a=11.

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 37281526 times.