-8x^2-13=-45

Solution for -8x^2-13=-45 equation:

Simplifying
-8x2 + -13 = -45

Reorder the terms:
-13 + -8x2 = -45

Solving
-13 + -8x2 = -45

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + -8x2 = -45 + 13

Combine like terms: -13 + 13 = 0
0 + -8x2 = -45 + 13
-8x2 = -45 + 13

Combine like terms: -45 + 13 = -32
-8x2 = -32

Divide each side by '-8'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}