(x^2+2x-4)(x^2+2x-2)=8

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


Simplifying
(x2 + 2x + -4)(x2 + 2x + -2) = 8

Reorder the terms:
(-4 + 2x + x2)(x2 + 2x + -2) = 8

Reorder the terms:
(-4 + 2x + x2)(-2 + 2x + x2) = 8

Multiply (-4 + 2x + x2) * (-2 + 2x + x2)
(-4(-2 + 2x + x2) + 2x * (-2 + 2x + x2) + x2(-2 + 2x + x2)) = 8
((-2 * -4 + 2x * -4 + x2 * -4) + 2x * (-2 + 2x + x2) + x2(-2 + 2x + x2)) = 8
((8 + -8x + -4x2) + 2x * (-2 + 2x + x2) + x2(-2 + 2x + x2)) = 8
(8 + -8x + -4x2 + (-2 * 2x + 2x * 2x + x2 * 2x) + x2(-2 + 2x + x2)) = 8
(8 + -8x + -4x2 + (-4x + 4x2 + 2x3) + x2(-2 + 2x + x2)) = 8
(8 + -8x + -4x2 + -4x + 4x2 + 2x3 + (-2 * x2 + 2x * x2 + x2 * x2)) = 8
(8 + -8x + -4x2 + -4x + 4x2 + 2x3 + (-2x2 + 2x3 + x4)) = 8

Reorder the terms:
(8 + -8x + -4x + -4x2 + 4x2 + -2x2 + 2x3 + 2x3 + x4) = 8

Combine like terms: -8x + -4x = -12x
(8 + -12x + -4x2 + 4x2 + -2x2 + 2x3 + 2x3 + x4) = 8

Combine like terms: -4x2 + 4x2 = 0
(8 + -12x + 0 + -2x2 + 2x3 + 2x3 + x4) = 8
(8 + -12x + -2x2 + 2x3 + 2x3 + x4) = 8

Combine like terms: 2x3 + 2x3 = 4x3
(8 + -12x + -2x2 + 4x3 + x4) = 8

Add '-8' to each side of the equation.
8 + -12x + -2x2 + 4x3 + -8 + x4 = 8 + -8

Reorder the terms:
8 + -8 + -12x + -2x2 + 4x3 + x4 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + -12x + -2x2 + 4x3 + x4 = 8 + -8
-12x + -2x2 + 4x3 + x4 = 8 + -8

Combine like terms: 8 + -8 = 0
-12x + -2x2 + 4x3 + x4 = 0

Solving
-12x + -2x2 + 4x3 + x4 = 0

Solving for variable 'x'.

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


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 + -2x + 4x2 + x3)' equal to zero and attempt to solve:

Simplifying
-12 + -2x + 4x2 + x3 = 0

Solving
-12 + -2x + 4x2 + x3 = 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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