2x^2-1=35

Solution for 2x^2-1=35 equation:

Simplifying
2x2 + -1 = 35

Reorder the terms:
-1 + 2x2 = 35

Solving
-1 + 2x2 = 35

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 = 35 + 1

Combine like terms: -1 + 1 = 0
0 + 2x2 = 35 + 1
2x2 = 35 + 1

Combine like terms: 35 + 1 = 36
2x2 = 36

Divide each side by '2'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}