2x^2(x^2-16)(x^2-4x+4)=0

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Solution for 2x^2(x^2-16)(x^2-4x+4)=0 equation: 


Simplifying
2x2(x2 + -16)(x2 + -4x + 4) = 0

Reorder the terms:
2x2(-16 + x2)(x2 + -4x + 4) = 0

Reorder the terms:
2x2(-16 + x2)(4 + -4x + x2) = 0

Multiply (-16 + x2) * (4 + -4x + x2)
2x2(-16(4 + -4x + x2) + x2(4 + -4x + x2)) = 0
2x2((4 * -16 + -4x * -16 + x2 * -16) + x2(4 + -4x + x2)) = 0
2x2((-64 + 64x + -16x2) + x2(4 + -4x + x2)) = 0
2x2(-64 + 64x + -16x2 + (4 * x2 + -4x * x2 + x2 * x2)) = 0
2x2(-64 + 64x + -16x2 + (4x2 + -4x3 + x4)) = 0

Combine like terms: -16x2 + 4x2 = -12x2
2x2(-64 + 64x + -12x2 + -4x3 + x4) = 0
(-64 * 2x2 + 64x * 2x2 + -12x2 * 2x2 + -4x3 * 2x2 + x4 * 2x2) = 0
(-128x2 + 128x3 + -24x4 + -8x5 + 2x6) = 0

Solving
-128x2 + 128x3 + -24x4 + -8x5 + 2x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-64 + 64x + -12x2 + -4x3 + x4) = 0

Ignore the factor 2.

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 '(-64 + 64x + -12x2 + -4x3 + x4)' equal to zero and attempt to solve:

Simplifying
-64 + 64x + -12x2 + -4x3 + x4 = 0

Solving
-64 + 64x + -12x2 + -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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