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

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


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

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

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

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

Solving for variable 'x'.
Remove the zero:
24x + 24x2 + -2x3 + -8x4 + -2x5 = -24x + -24x2 + 2x3 + 8x4 + 2x5 + 24x + 24x2 + -2x3 + -8x4 + -2x5

Reorder the terms:
24x + 24x2 + -2x3 + -8x4 + -2x5 = -24x + 24x + -24x2 + 24x2 + 2x3 + -2x3 + 8x4 + -8x4 + 2x5 + -2x5

Combine like terms: -24x + 24x = 0
24x + 24x2 + -2x3 + -8x4 + -2x5 = 0 + -24x2 + 24x2 + 2x3 + -2x3 + 8x4 + -8x4 + 2x5 + -2x5
24x + 24x2 + -2x3 + -8x4 + -2x5 = -24x2 + 24x2 + 2x3 + -2x3 + 8x4 + -8x4 + 2x5 + -2x5

Combine like terms: -24x2 + 24x2 = 0
24x + 24x2 + -2x3 + -8x4 + -2x5 = 0 + 2x3 + -2x3 + 8x4 + -8x4 + 2x5 + -2x5
24x + 24x2 + -2x3 + -8x4 + -2x5 = 2x3 + -2x3 + 8x4 + -8x4 + 2x5 + -2x5

Combine like terms: 2x3 + -2x3 = 0
24x + 24x2 + -2x3 + -8x4 + -2x5 = 0 + 8x4 + -8x4 + 2x5 + -2x5
24x + 24x2 + -2x3 + -8x4 + -2x5 = 8x4 + -8x4 + 2x5 + -2x5

Combine like terms: 8x4 + -8x4 = 0
24x + 24x2 + -2x3 + -8x4 + -2x5 = 0 + 2x5 + -2x5
24x + 24x2 + -2x3 + -8x4 + -2x5 = 2x5 + -2x5

Combine like terms: 2x5 + -2x5 = 0
24x + 24x2 + -2x3 + -8x4 + -2x5 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(12 + 12x + -1x2 + -4x3 + -1x4) = 0

Ignore the factor 2.

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 '(12 + 12x + -1x2 + -4x3 + -1x4)' equal to zero and attempt to solve:

Simplifying
12 + 12x + -1x2 + -4x3 + -1x4 = 0

Solving
12 + 12x + -1x2 + -4x3 + -1x4 = 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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