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

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


Simplifying
2x2(x2 + -3)(x2 + -4x + 4) = 0

Reorder the terms:
2x2(-3 + x2)(x2 + -4x + 4) = 0

Reorder the terms:
2x2(-3 + x2)(4 + -4x + x2) = 0

Multiply (-3 + x2) * (4 + -4x + x2)
2x2(-3(4 + -4x + x2) + x2(4 + -4x + x2)) = 0
2x2((4 * -3 + -4x * -3 + x2 * -3) + x2(4 + -4x + x2)) = 0
2x2((-12 + 12x + -3x2) + x2(4 + -4x + x2)) = 0
2x2(-12 + 12x + -3x2 + (4 * x2 + -4x * x2 + x2 * x2)) = 0
2x2(-12 + 12x + -3x2 + (4x2 + -4x3 + x4)) = 0

Combine like terms: -3x2 + 4x2 = 1x2
2x2(-12 + 12x + 1x2 + -4x3 + x4) = 0
(-12 * 2x2 + 12x * 2x2 + 1x2 * 2x2 + -4x3 * 2x2 + x4 * 2x2) = 0
(-24x2 + 24x3 + 2x4 + -8x5 + 2x6) = 0

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

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-12 + 12x + x2 + -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 '(-12 + 12x + x2 + -4x3 + x4)' equal to zero and attempt to solve:

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

Solving
-12 + 12x + x2 + -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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