(x^2-4x+4)(x^3-25x)=0

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Solution for (x^2-4x+4)(x^3-25x)=0 equation: 


Simplifying
(x2 + -4x + 4)(x3 + -25x) = 0

Reorder the terms:
(4 + -4x + x2)(x3 + -25x) = 0

Reorder the terms:
(4 + -4x + x2)(-25x + x3) = 0

Multiply (4 + -4x + x2) * (-25x + x3)
(4(-25x + x3) + -4x * (-25x + x3) + x2(-25x + x3)) = 0
((-25x * 4 + x3 * 4) + -4x * (-25x + x3) + x2(-25x + x3)) = 0
((-100x + 4x3) + -4x * (-25x + x3) + x2(-25x + x3)) = 0
(-100x + 4x3 + (-25x * -4x + x3 * -4x) + x2(-25x + x3)) = 0
(-100x + 4x3 + (100x2 + -4x4) + x2(-25x + x3)) = 0
(-100x + 4x3 + 100x2 + -4x4 + (-25x * x2 + x3 * x2)) = 0
(-100x + 4x3 + 100x2 + -4x4 + (-25x3 + x5)) = 0

Reorder the terms:
(-100x + 100x2 + 4x3 + -25x3 + -4x4 + x5) = 0

Combine like terms: 4x3 + -25x3 = -21x3
(-100x + 100x2 + -21x3 + -4x4 + x5) = 0

Solving
-100x + 100x2 + -21x3 + -4x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-100 + 100x + -21x2 + -4x3 + x4) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-100 + 100x + -21x2 + -4x3 + x4)' equal to zero and attempt to solve:

Simplifying
-100 + 100x + -21x2 + -4x3 + x4 = 0

Solving
-100 + 100x + -21x2 + -4x3 + x4 = 0

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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