X^2(4x-25)=0

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Solution for X^2(4x-25)=0 equation: 


Simplifying
X2(4x + -25) = 0

Reorder the terms:
X2(-25 + 4x) = 0
(-25 * X2 + 4x * X2) = 0
(-25X2 + 4xX2) = 0

Solving
-25X2 + 4xX2 = 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 + 4x) = 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 '(-25 + 4x)' equal to zero and attempt to solve:

Simplifying
-25 + 4x = 0

Solving
-25 + 4x = 0

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

Add '25' to each side of the equation.
-25 + 25 + 4x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 4x = 0 + 25
4x = 0 + 25

Combine like terms: 0 + 25 = 25
4x = 25

Add '-4x' to each side of the equation.
4x + -4x = 25 + -4x

Combine like terms: 4x + -4x = 0
0 = 25 + -4x

Simplifying
0 = 25 + -4x

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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