6-8x^2=-258

Solution for 6-8x^2=-258 equation:

Simplifying
6 + -8x2 = -258

Solving
6 + -8x2 = -258

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 = -258 + -6

Combine like terms: 6 + -6 = 0
0 + -8x2 = -258 + -6
-8x2 = -258 + -6

Combine like terms: -258 + -6 = -264
-8x2 = -264

Divide each side by '-8'.
x2 = 33

Simplifying
x2 = 33

Take the square root of each side:
x = {-5.744562647, 5.744562647}