2(5x^2-1)=158

Solution for 2(5x^2-1)=158 equation:

Simplifying
2(5x2 + -1) = 158

Reorder the terms:
2(-1 + 5x2) = 158
(-1 * 2 + 5x2 * 2) = 158
(-2 + 10x2) = 158

Solving
-2 + 10x2 = 158

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 + 10x2 = 158 + 2

Combine like terms: -2 + 2 = 0
0 + 10x2 = 158 + 2
10x2 = 158 + 2

Combine like terms: 158 + 2 = 160
10x2 = 160

Divide each side by '10'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}