3-8x^2=-109

Solution for 3-8x^2=-109 equation:

Simplifying
3 + -8x2 = -109

Solving
3 + -8x2 = -109

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -8x2 = -109 + -3

Combine like terms: 3 + -3 = 0
0 + -8x2 = -109 + -3
-8x2 = -109 + -3

Combine like terms: -109 + -3 = -112
-8x2 = -112

Divide each side by '-8'.
x2 = 14

Simplifying
x2 = 14

Take the square root of each side:
x = {-3.741657387, 3.741657387}