5(x^2-1)=120

Solution for 5(x^2-1)=120 equation:

Simplifying
5(x2 + -1) = 120

Reorder the terms:
5(-1 + x2) = 120
(-1 * 5 + x2 * 5) = 120
(-5 + 5x2) = 120

Solving
-5 + 5x2 = 120

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 5x2 = 120 + 5

Combine like terms: -5 + 5 = 0
0 + 5x2 = 120 + 5
5x2 = 120 + 5

Combine like terms: 120 + 5 = 125
5x2 = 125

Divide each side by '5'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}