4x(4x-8)(x^2+4)(3x^2-18)=0

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Solution for 4x(4x-8)(x^2+4)(3x^2-18)=0 equation: 


Simplifying
4x(4x + -8)(x2 + 4)(3x2 + -18) = 0

Reorder the terms:
4x(-8 + 4x)(x2 + 4)(3x2 + -18) = 0

Reorder the terms:
4x(-8 + 4x)(4 + x2)(3x2 + -18) = 0

Reorder the terms:
4x(-8 + 4x)(4 + x2)(-18 + 3x2) = 0

Multiply (-8 + 4x) * (4 + x2)
4x(-8(4 + x2) + 4x * (4 + x2))(-18 + 3x2) = 0
4x((4 * -8 + x2 * -8) + 4x * (4 + x2))(-18 + 3x2) = 0
4x((-32 + -8x2) + 4x * (4 + x2))(-18 + 3x2) = 0
4x(-32 + -8x2 + (4 * 4x + x2 * 4x))(-18 + 3x2) = 0
4x(-32 + -8x2 + (16x + 4x3))(-18 + 3x2) = 0

Reorder the terms:
4x(-32 + 16x + -8x2 + 4x3)(-18 + 3x2) = 0
4x(-32 + 16x + -8x2 + 4x3)(-18 + 3x2) = 0

Multiply (-32 + 16x + -8x2 + 4x3) * (-18 + 3x2)
4x(-32(-18 + 3x2) + 16x * (-18 + 3x2) + -8x2 * (-18 + 3x2) + 4x3 * (-18 + 3x2)) = 0
4x((-18 * -32 + 3x2 * -32) + 16x * (-18 + 3x2) + -8x2 * (-18 + 3x2) + 4x3 * (-18 + 3x2)) = 0
4x((576 + -96x2) + 16x * (-18 + 3x2) + -8x2 * (-18 + 3x2) + 4x3 * (-18 + 3x2)) = 0
4x(576 + -96x2 + (-18 * 16x + 3x2 * 16x) + -8x2 * (-18 + 3x2) + 4x3 * (-18 + 3x2)) = 0
4x(576 + -96x2 + (-288x + 48x3) + -8x2 * (-18 + 3x2) + 4x3 * (-18 + 3x2)) = 0
4x(576 + -96x2 + -288x + 48x3 + (-18 * -8x2 + 3x2 * -8x2) + 4x3 * (-18 + 3x2)) = 0
4x(576 + -96x2 + -288x + 48x3 + (144x2 + -24x4) + 4x3 * (-18 + 3x2)) = 0
4x(576 + -96x2 + -288x + 48x3 + 144x2 + -24x4 + (-18 * 4x3 + 3x2 * 4x3)) = 0
4x(576 + -96x2 + -288x + 48x3 + 144x2 + -24x4 + (-72x3 + 12x5)) = 0

Reorder the terms:
4x(576 + -288x + -96x2 + 144x2 + 48x3 + -72x3 + -24x4 + 12x5) = 0

Combine like terms: -96x2 + 144x2 = 48x2
4x(576 + -288x + 48x2 + 48x3 + -72x3 + -24x4 + 12x5) = 0

Combine like terms: 48x3 + -72x3 = -24x3
4x(576 + -288x + 48x2 + -24x3 + -24x4 + 12x5) = 0
(576 * 4x + -288x * 4x + 48x2 * 4x + -24x3 * 4x + -24x4 * 4x + 12x5 * 4x) = 0
(2304x + -1152x2 + 192x3 + -96x4 + -96x5 + 48x6) = 0

Solving
2304x + -1152x2 + 192x3 + -96x4 + -96x5 + 48x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '48x'.
48x(48 + -24x + 4x2 + -2x3 + -2x4 + x5) = 0

Ignore the factor 48.

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 '(48 + -24x + 4x2 + -2x3 + -2x4 + x5)' equal to zero and attempt to solve:

Simplifying
48 + -24x + 4x2 + -2x3 + -2x4 + x5 = 0

Solving
48 + -24x + 4x2 + -2x3 + -2x4 + x5 = 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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