X^2(x+5)(x-5)=0

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Solution for X^2(x+5)(x-5)=0 equation: 


Simplifying
X2(x + 5)(x + -5) = 0

Reorder the terms:
X2(5 + x)(x + -5) = 0

Reorder the terms:
X2(5 + x)(-5 + x) = 0

Multiply (5 + x) * (-5 + x)
X2(5(-5 + x) + x(-5 + x)) = 0
X2((-5 * 5 + x * 5) + x(-5 + x)) = 0
X2((-25 + 5x) + x(-5 + x)) = 0
X2(-25 + 5x + (-5 * x + x * x)) = 0
X2(-25 + 5x + (-5x + x2)) = 0

Combine like terms: 5x + -5x = 0
X2(-25 + 0 + x2) = 0
X2(-25 + x2) = 0
(-25 * X2 + x2 * X2) = 0
(-25X2 + x2X2) = 0

Solving
-25X2 + x2X2 = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(-25 + x2) = 0

Factor a difference between two squares.
X2((5 + x)(-5 + x)) = 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 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

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

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

Simplifying
0 = -5 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 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 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

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

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

Simplifying
0 = 5 + -1x

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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