8x^2-6=138

Solution for 8x^2-6=138 equation:

Simplifying
8x2 + -6 = 138

Reorder the terms:
-6 + 8x2 = 138

Solving
-6 + 8x2 = 138

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 8x2 = 138 + 6

Combine like terms: -6 + 6 = 0
0 + 8x2 = 138 + 6
8x2 = 138 + 6

Combine like terms: 138 + 6 = 144
8x2 = 144

Divide each side by '8'.
x2 = 18

Simplifying
x2 = 18

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