2(x^2-1)=8

Solution for 2(x^2-1)=8 equation:

Simplifying
2(x2 + -1) = 8

Reorder the terms:
2(-1 + x2) = 8
(-1 * 2 + x2 * 2) = 8
(-2 + 2x2) = 8

Solving
-2 + 2x2 = 8

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 2x2 = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 2x2 = 8 + 2
2x2 = 8 + 2

Combine like terms: 8 + 2 = 10
2x2 = 10

Divide each side by '2'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}