8x^2-1=3

Solution for 8x^2-1=3 equation:

Simplifying
8x2 + -1 = 3

Reorder the terms:
-1 + 8x2 = 3

Solving
-1 + 8x2 = 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 + 8x2 = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 8x2 = 3 + 1
8x2 = 3 + 1

Combine like terms: 3 + 1 = 4
8x2 = 4

Divide each side by '8'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}