-2n^2-13=-45

Solution for -2n^2-13=-45 equation:

Simplifying
-2n2 + -13 = -45

Reorder the terms:
-13 + -2n2 = -45

Solving
-13 + -2n2 = -45

Solving for variable 'n'.

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

Add '13' to each side of the equation.
-13 + 13 + -2n2 = -45 + 13

Combine like terms: -13 + 13 = 0
0 + -2n2 = -45 + 13
-2n2 = -45 + 13

Combine like terms: -45 + 13 = -32
-2n2 = -32

Divide each side by '-2'.
n2 = 16

Simplifying
n2 = 16

Take the square root of each side:
n = {-4, 4}