(x^2-1)=3

Solution for (x^2-1)=3 equation:

Simplifying
(x2 + -1) = 3

Reorder the terms:
(-1 + x2) = 3

Remove parenthesis around (-1 + x2)
-1 + x2 = 3

Solving
-1 + x2 = 3

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x2 = 3 + 1

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

Combine like terms: 3 + 1 = 4
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}