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

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

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

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

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

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

Combine like terms: -1x2 + -1x2 = -2x2
2(1 + -2x2 + x4) = 0
(1 * 2 + -2x2 * 2 + x4 * 2) = 0
(2 + -4x2 + 2x4) = 0

Solving
2 + -4x2 + 2x4 = 0

Solving for variable 'x'.

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

Factor a trinomial.
2((1 + -1x2)(1 + -1x2)) = 0

Factor a difference between two squares.
2(((1 + x)(1 + -1x))(1 + -1x2)) = 0

Factor a difference between two squares.
2(((1 + x)(1 + -1x))(1 + x)(1 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Subproblem 3
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Subproblem 4
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-1, 1, -1, 1}