Algebra Solver and Math Simplifier that SHOWS WORK

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  • Graphical form: 6%5E3-7%2A3%5E4-2%5E5%2A9%2F%281-2%5E3%29%2B7%5E3 simplifies to 33.1428571428571
  • Text form: 6^3-7*3^4-2^5*9/(1-2^3)+7^3 simplifies to 33.1428571428571
  • Cartoon (animation) form: simplify_cartoon%28+6%5E3-7%2A3%5E4-2%5E5%2A9%2F%281-2%5E3%29%2B7%5E3+%29
    For tutors: simplify_cartoon( 6^3-7*3^4-2^5*9/(1-2^3)+7^3 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at highlight_red%28+6+%29%5Ehighlight_red%28+3+%29-7%2A3%5E4-2%5E5%2A9%2F%281-2%5E3%29%2B7%5E3.
Replace constants in factor: highlight_red%28+6+%29,highlight_red%28+3+%29 with highlight_green%28+216+%29
It becomes highlight_green%28+216+%29-7%2A3%5E4-2%5E5%2A9%2F%281-2%5E3%29%2B7%5E3.

Look at 216-7%2Ahighlight_red%28+3+%29%5Ehighlight_red%28+4+%29-2%5E5%2A9%2F%281-2%5E3%29%2B7%5E3.
Replace constants in factor: highlight_red%28+3+%29,highlight_red%28+4+%29 with highlight_green%28+81+%29
It becomes 216-7%2Ahighlight_green%28+81+%29-2%5E5%2A9%2F%281-2%5E3%29%2B7%5E3.

Look at 216-7%2A81-highlight_red%28+2+%29%5Ehighlight_red%28+5+%29%2A9%2F%281-2%5E3%29%2B7%5E3.
Replace constants in factor: highlight_red%28+2+%29,highlight_red%28+5+%29 with highlight_green%28+32+%29
It becomes 216-7%2A81-highlight_green%28+32+%29%2A9%2F%281-2%5E3%29%2B7%5E3.

Look at 216-7%2A81-32%2A9%2F%281-highlight_red%28+2+%29%5Ehighlight_red%28+3+%29%29%2B7%5E3.
Replace constants in factor: highlight_red%28+2+%29,highlight_red%28+3+%29 with highlight_green%28+8+%29
It becomes 216-7%2A81-32%2A9%2F%281-highlight_green%28+8+%29%29%2B7%5E3.

Look at 216-7%2A81-32%2A9%2F%28highlight_red%28+1+%29-highlight_red%28+8+%29%29%2B7%5E3.
Added fractions or integers together
It becomes 216-7%2A81-32%2A9%2F%28highlight_green%28+-7+%29%29%2B7%5E3.

Look at 216-7%2A81-32%2A9%2F%28-7%29%2Bhighlight_red%28+7+%29%5Ehighlight_red%28+3+%29.
Replace constants in factor: highlight_red%28+7+%29,highlight_red%28+3+%29 with highlight_green%28+343+%29
It becomes 216-7%2A81-32%2A9%2F%28-7%29%2Bhighlight_green%28+343+%29.

Look at highlight_red%28+216+%29-7%2A81-32%2A9%2F%28-7%29%2Bhighlight_red%28+343+%29.
Added fractions or integers together
It becomes highlight_green%28+559+%29-7%2A81-32%2A9%2F%28-7%29.

Look at 559-7%2A81-32%2A9%2F%28highlight_red%28+-7+%29%29.
Removed extra sign in front of -7
It becomes 559-7%2A81-32%2A9%2F%28-highlight_green%28+7+%29%29.

Look at 559-7%2A81-highlight_red%28+32%2A9%2F%28-7%29+%29.
Removed extra sign in front of 41.1428571428571
It becomes 559-7%2A81%2Bhighlight_green%28+41.1428571428571+%29.

Look at 559-highlight_red%28+7+%29%2Ahighlight_red%28+81+%29%2B41.1428571428571.
Multiplied numerator integers
It becomes 559-highlight_green%28+567+%29%2B41.1428571428571.

Look at highlight_red%28+559+%29-highlight_red%28+567+%29%2B41.1428571428571.
Added fractions or integers together
It becomes highlight_green%28+-8+%29%2B41.1428571428571.

Look at highlight_red%28+-8+%29%2B41.1428571428571.
Removed extra sign in front of -8
It becomes -highlight_green%28+8+%29%2B41.1428571428571.

Look at -highlight_red%28+8+%29%2Bhighlight_red%28+41.1428571428571+%29.
Replace constants in expression: highlight_red%28+-8+%29,highlight_red%28+41.1428571428571+%29 with highlight_green%28+33.1428571428571+%29
It becomes highlight_green%28+33.1428571428571+%29.
Result: 33.1428571428571

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 37262816 times.