=x^2(x^5-5)

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Solution for =x^2(x^5-5) equation: 


Simplifying
0 = x2(x5 + -5)

Reorder the terms:
0 = x2(-5 + x5)
0 = (-5 * x2 + x5 * x2)
0 = (-5x2 + x7)

Solving
0 = -5x2 + x7

Solving for variable 'x'.
Remove the zero:
5x2 + -1x7 = -5x2 + x7 + 5x2 + -1x7

Reorder the terms:
5x2 + -1x7 = -5x2 + 5x2 + x7 + -1x7

Combine like terms: -5x2 + 5x2 = 0
5x2 + -1x7 = 0 + x7 + -1x7
5x2 + -1x7 = x7 + -1x7

Combine like terms: x7 + -1x7 = 0
5x2 + -1x7 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(5 + -1x5) = 0


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 '(5 + -1x5)' equal to zero and attempt to solve:

Simplifying
5 + -1x5 = 0

Solving
5 + -1x5 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x5 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x5 = 0 + -5
-1x5 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x5 = -5

Divide each side by '-1'.
x5 = 5

Simplifying
x5 = 5

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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