(x^2-1)(x^2-1)-(x^2-1)-2=0

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Solution for (x^2-1)(x^2-1)-(x^2-1)-2=0 equation: 


Simplifying
(x2 + -1)(x2 + -1) + -1(x2 + -1) + -2 = 0

Reorder the terms:
(-1 + x2)(x2 + -1) + -1(x2 + -1) + -2 = 0

Reorder the terms:
(-1 + x2)(-1 + x2) + -1(x2 + -1) + -2 = 0

Multiply (-1 + x2) * (-1 + x2)
(-1(-1 + x2) + x2(-1 + x2)) + -1(x2 + -1) + -2 = 0
((-1 * -1 + x2 * -1) + x2(-1 + x2)) + -1(x2 + -1) + -2 = 0
((1 + -1x2) + x2(-1 + x2)) + -1(x2 + -1) + -2 = 0
(1 + -1x2 + (-1 * x2 + x2 * x2)) + -1(x2 + -1) + -2 = 0
(1 + -1x2 + (-1x2 + x4)) + -1(x2 + -1) + -2 = 0

Combine like terms: -1x2 + -1x2 = -2x2
(1 + -2x2 + x4) + -1(x2 + -1) + -2 = 0

Reorder the terms:
1 + -2x2 + x4 + -1(-1 + x2) + -2 = 0
1 + -2x2 + x4 + (-1 * -1 + x2 * -1) + -2 = 0
1 + -2x2 + x4 + (1 + -1x2) + -2 = 0

Reorder the terms:
1 + 1 + -2 + -2x2 + -1x2 + x4 = 0

Combine like terms: 1 + 1 = 2
2 + -2 + -2x2 + -1x2 + x4 = 0

Combine like terms: 2 + -2 = 0
0 + -2x2 + -1x2 + x4 = 0
-2x2 + -1x2 + x4 = 0

Combine like terms: -2x2 + -1x2 = -3x2
-3x2 + x4 = 0

Solving
-3x2 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-3 + x2) = 0


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 '(-3 + x2)' equal to zero and attempt to solve:

Simplifying
-3 + x2 = 0

Solving
-3 + x2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x2 = 0 + 3
x2 = 0 + 3

Combine like terms: 0 + 3 = 3
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}
Solution
x = {0, -1.732050808, 1.732050808}

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