2x(x^2-12)-4(2x-1)=4

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Solution for 2x(x^2-12)-4(2x-1)=4 equation: 


Simplifying
2x(x2 + -12) + -4(2x + -1) = 4

Reorder the terms:
2x(-12 + x2) + -4(2x + -1) = 4
(-12 * 2x + x2 * 2x) + -4(2x + -1) = 4
(-24x + 2x3) + -4(2x + -1) = 4

Reorder the terms:
-24x + 2x3 + -4(-1 + 2x) = 4
-24x + 2x3 + (-1 * -4 + 2x * -4) = 4
-24x + 2x3 + (4 + -8x) = 4

Reorder the terms:
4 + -24x + -8x + 2x3 = 4

Combine like terms: -24x + -8x = -32x
4 + -32x + 2x3 = 4

Add '-4' to each side of the equation.
4 + -32x + -4 + 2x3 = 4 + -4

Reorder the terms:
4 + -4 + -32x + 2x3 = 4 + -4

Combine like terms: 4 + -4 = 0
0 + -32x + 2x3 = 4 + -4
-32x + 2x3 = 4 + -4

Combine like terms: 4 + -4 = 0
-32x + 2x3 = 0

Solving
-32x + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-16 + x2) = 0

Factor a difference between two squares.
2x((4 + x)(-4 + x)) = 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

Subproblem 3
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4
Solution
x = {0, -4, 4}

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