8x^2-105=0

Solution for 8x^2-105=0 equation:

Simplifying
8x2 + -105 = 0

Reorder the terms:
-105 + 8x2 = 0

Solving
-105 + 8x2 = 0

Solving for variable 'x'.

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

Add '105' to each side of the equation.
-105 + 105 + 8x2 = 0 + 105

Combine like terms: -105 + 105 = 0
0 + 8x2 = 0 + 105
8x2 = 0 + 105

Combine like terms: 0 + 105 = 105
8x2 = 105

Divide each side by '8'.
x2 = 13.125

Simplifying
x2 = 13.125

Take the square root of each side:
x = {-3.622844187, 3.622844187}