0=12x^5-96x^2

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Solution for 0=12x^5-96x^2 equation: 


Simplifying
0 = 12x5 + -96x2

Reorder the terms:
0 = -96x2 + 12x5

Solving
0 = -96x2 + 12x5

Solving for variable 'x'.
Remove the zero:
96x2 + -12x5 = -96x2 + 12x5 + 96x2 + -12x5

Reorder the terms:
96x2 + -12x5 = -96x2 + 96x2 + 12x5 + -12x5

Combine like terms: -96x2 + 96x2 = 0
96x2 + -12x5 = 0 + 12x5 + -12x5
96x2 + -12x5 = 12x5 + -12x5

Combine like terms: 12x5 + -12x5 = 0
96x2 + -12x5 = 0

Factor out the Greatest Common Factor (GCF), '12x2'.
12x2(8 + -1x3) = 0

Ignore the factor 12.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(8 + -1x3)' equal to zero and attempt to solve:

Simplifying
8 + -1x3 = 0

Solving
8 + -1x3 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x3 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x3 = 0 + -8
-1x3 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x3 = -8

Divide each side by '-1'.
x3 = 8

Simplifying
x3 = 8

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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