=X^2(2x-5)

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


Simplifying
0 = X2(2x + -5)

Reorder the terms:
0 = X2(-5 + 2x)
0 = (-5 * X2 + 2x * X2)
0 = (-5X2 + 2xX2)

Solving
0 = -5X2 + 2xX2

Solving for variable 'X'.

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

Add '5X2' to each side of the equation.
0 + 5X2 = -5X2 + 5X2 + 2xX2
Remove the zero:
5X2 = -5X2 + 5X2 + 2xX2

Combine like terms: -5X2 + 5X2 = 0
5X2 = 0 + 2xX2
5X2 = 2xX2

Add '-2xX2' to each side of the equation.
5X2 + -2xX2 = 2xX2 + -2xX2

Combine like terms: 2xX2 + -2xX2 = 0
5X2 + -2xX2 = 0

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(5 + -2x) = 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 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Add '2x' to each side of the equation.
-2x + 2x = -5 + 2x

Combine like terms: -2x + 2x = 0
0 = -5 + 2x

Simplifying
0 = -5 + 2x

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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