2x^2-1=30

Solution for 2x^2-1=30 equation:

Simplifying
2x2 + -1 = 30

Reorder the terms:
-1 + 2x2 = 30

Solving
-1 + 2x2 = 30

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 + 2x2 = 30 + 1

Combine like terms: -1 + 1 = 0
0 + 2x2 = 30 + 1
2x2 = 30 + 1

Combine like terms: 30 + 1 = 31
2x2 = 31

Divide each side by '2'.
x2 = 15.5

Simplifying
x2 = 15.5

Take the square root of each side:
x = {-3.937003937, 3.937003937}