Algebra Solver and Math Simplifier that SHOWS WORK

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Expression Simplifier and Solver
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  • Graphical form: 3%2As%2B%28-1%2F2%29%2A%286%2B24%2A%28-1%2F3%2B1%2F4%2As%29%29 simplifies to 1
  • Text form: 3*s+(-1/2)*(6+24*(-1/3+1/4*s)) simplifies to 1
  • Cartoon (animation) form: simplify_cartoon%28+3%2As%2B%28-1%2F2%29%2A%286%2B24%2A%28-1%2F3%2B1%2F4%2As%29%29+%29
    For tutors: simplify_cartoon( 3*s+(-1/2)*(6+24*(-1/3+1/4*s)) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F2+%29
It becomes .
Look at 3%2As-highlight_red%28+1+%29%2F2%2A%286%2B24%2A%28-1%2F3%2B1%2F4%2As%29%29.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes 3%2As-%286%2B24%2A%28-1%2F3%2B1%2F4%2As%29%29%2F2.
Look at 3%2As-%286%2B24%2A%28-1%2F3%2Bhighlight_red%28+1+%29%2F4%2As%29%29%2F2.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes 3%2As-%286%2B24%2A%28-1%2F3%2Bs%2F4%29%29%2F2.
Look at 3%2As-%286%2B24%2A%28-highlight_red%28+1%2F3+%29%2Bs%2F4%29%29%2F2.
Moved -1%2F3 to the right of expression
It becomes 3%2As-%286%2B24%2A%28s%2F4-highlight_green%28+1%2F3+%29%29%29%2F2.
Look at 3%2As-%28highlight_red%28+6+%29%2B24%2A%28s%2F4-1%2F3%29%29%2F2.
Moved 6 to the right of expression
It becomes 3%2As-%2824%2A%28s%2F4-1%2F3%29%2Bhighlight_green%28+6+%29%29%2F2.
Look at 3%2As-%28highlight_red%28+24%2A%28s%2F4-1%2F3%29+%29%2B6%29%2F2.
Expanded term 24 by using associative property on %28s%2F4-1%2F3%29
It becomes 3%2As-%28highlight_green%28+24%2As%2F4+%29-highlight_green%28+24%2A1%2F3+%29%2B6%29%2F2.
Look at 3%2As-highlight_red%28+%2824%2As%2F4-24%2A1%2F3%2B6%29%2F2+%29.
Expanded term -1%2F2 by using associative property on %2824%2As%2F4-24%2A1%2F3%2B6%29
It becomes .
Look at .
Factors 24 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Factors 12 and 4 have greatest common factor (GCF) of 4. Reducing fraction.
It becomes .
Look at .
Multiplied numerator integers
It becomes 3%2As-highlight_green%28+3+%29%2F1%2As%2F1%2B1%2F2%2A24%2A1%2F3-1%2F2%2A6.
Look at 3%2As-3%2Fhighlight_red%28+1+%29%2As%2Fhighlight_red%28+1+%29%2B1%2F2%2A24%2A1%2F3-1%2F2%2A6.
Multiplied denominator integers
It becomes 3%2As-3%2Fhighlight_green%28+1+%29%2As%2B1%2F2%2A24%2A1%2F3-1%2F2%2A6.
Look at 3%2As-3%2F1%2As%2B1%2Fhighlight_red%28+2+%29%2Ahighlight_red%28+24+%29%2A1%2F3-1%2F2%2A6.
Factors 24 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes 3%2As-3%2F1%2As%2B1%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+12+%29%2A1%2F3-1%2F2%2A6.
Look at 3%2As-3%2F1%2As%2B1%2F1%2Ahighlight_red%28+12+%29%2A1%2Fhighlight_red%28+3+%29-1%2F2%2A6.
Factors 12 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes 3%2As-3%2F1%2As%2B1%2F1%2Ahighlight_green%28+4+%29%2A1%2Fhighlight_green%28+1+%29-1%2F2%2A6.
Look at .
Multiplied numerator integers
It becomes 3%2As-3%2F1%2As%2Bhighlight_green%28+4+%29%2F1%2F1-1%2F2%2A6.
Look at 3%2As-3%2F1%2As%2B4%2Fhighlight_red%28+1+%29%2Fhighlight_red%28+1+%29-1%2F2%2A6.
Multiplied denominator integers
It becomes 3%2As-3%2F1%2As%2B4%2Fhighlight_green%28+1+%29-1%2F2%2A6.
Look at 3%2As-3%2F1%2As%2B4%2F1-1%2Fhighlight_red%28+2+%29%2Ahighlight_red%28+6+%29.
Factors 6 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes 3%2As-3%2F1%2As%2B4%2F1-1%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+3+%29.
Look at 3%2As-3%2F1%2As%2B4%2F1-highlight_red%28+1+%29%2F1%2Ahighlight_red%28+3+%29.
Multiplied numerator integers
It becomes 3%2As-3%2F1%2As%2B4%2F1-highlight_green%28+3+%29%2F1.
Look at 3%2As-3%2F1%2As%2Bhighlight_red%28+4%2F1+%29-highlight_red%28+3%2F1+%29.
Added fractions or integers together
It becomes 3%2As-3%2F1%2As%2Bhighlight_green%28+1+%29.
Look at 3%2As-3%2Fhighlight_red%28+1+%29%2As%2B1.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes 3%2As-3%2As%2B1.
Look at highlight_red%28+3%2As+%29-highlight_red%28+3%2As+%29%2B1.
Eliminated similar terms highlight_red%28+3%2As+%29,highlight_red%28+-3%2As+%29 replacing them with highlight_green%28+%283-3%29%2As+%29
It becomes highlight_green%28+%283-3%29%2As+%29%2B1.
Look at highlight_red%28+%283-3%29%2As+%29%2B1.
Since highlight_red%28+%283-3%29%2As+%29 has zero as a factor, it should be replaced with a zero
Look at 0%2B1.
Added fractions or integers together
It becomes 0%2B1.
Look at highlight_red%28+0+%29%2B1.
Remove extraneous zero highlight_red%28+0+%29
It becomes 1.
Result: 1

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 37281259 times.