x^2(x^2-4x+4)(x^2-2x+1)=0

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Solution for x^2(x^2-4x+4)(x^2-2x+1)=0 equation: 


Simplifying
x2(x2 + -4x + 4)(x2 + -2x + 1) = 0

Reorder the terms:
x2(4 + -4x + x2)(x2 + -2x + 1) = 0

Reorder the terms:
x2(4 + -4x + x2)(1 + -2x + x2) = 0

Multiply (4 + -4x + x2) * (1 + -2x + x2)
x2(4(1 + -2x + x2) + -4x * (1 + -2x + x2) + x2(1 + -2x + x2)) = 0
x2((1 * 4 + -2x * 4 + x2 * 4) + -4x * (1 + -2x + x2) + x2(1 + -2x + x2)) = 0
x2((4 + -8x + 4x2) + -4x * (1 + -2x + x2) + x2(1 + -2x + x2)) = 0
x2(4 + -8x + 4x2 + (1 * -4x + -2x * -4x + x2 * -4x) + x2(1 + -2x + x2)) = 0
x2(4 + -8x + 4x2 + (-4x + 8x2 + -4x3) + x2(1 + -2x + x2)) = 0
x2(4 + -8x + 4x2 + -4x + 8x2 + -4x3 + (1 * x2 + -2x * x2 + x2 * x2)) = 0
x2(4 + -8x + 4x2 + -4x + 8x2 + -4x3 + (1x2 + -2x3 + x4)) = 0

Reorder the terms:
x2(4 + -8x + -4x + 4x2 + 8x2 + 1x2 + -4x3 + -2x3 + x4) = 0

Combine like terms: -8x + -4x = -12x
x2(4 + -12x + 4x2 + 8x2 + 1x2 + -4x3 + -2x3 + x4) = 0

Combine like terms: 4x2 + 8x2 = 12x2
x2(4 + -12x + 12x2 + 1x2 + -4x3 + -2x3 + x4) = 0

Combine like terms: 12x2 + 1x2 = 13x2
x2(4 + -12x + 13x2 + -4x3 + -2x3 + x4) = 0

Combine like terms: -4x3 + -2x3 = -6x3
x2(4 + -12x + 13x2 + -6x3 + x4) = 0
(4 * x2 + -12x * x2 + 13x2 * x2 + -6x3 * x2 + x4 * x2) = 0
(4x2 + -12x3 + 13x4 + -6x5 + x6) = 0

Solving
4x2 + -12x3 + 13x4 + -6x5 + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(4 + -12x + 13x2 + -6x3 + x4) = 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 '(4 + -12x + 13x2 + -6x3 + x4)' equal to zero and attempt to solve:

Simplifying
4 + -12x + 13x2 + -6x3 + x4 = 0

Solving
4 + -12x + 13x2 + -6x3 + 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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