20=2k^2-108

Solution for 20=2k^2-108 equation:

Simplifying
20 = 2k2 + -108

Reorder the terms:
20 = -108 + 2k2

Solving
20 = -108 + 2k2

Solving for variable 'k'.

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

Add '-2k2' to each side of the equation.
20 + -2k2 = -108 + 2k2 + -2k2

Combine like terms: 2k2 + -2k2 = 0
20 + -2k2 = -108 + 0
20 + -2k2 = -108

Add '-20' to each side of the equation.
20 + -20 + -2k2 = -108 + -20

Combine like terms: 20 + -20 = 0
0 + -2k2 = -108 + -20
-2k2 = -108 + -20

Combine like terms: -108 + -20 = -128
-2k2 = -128

Divide each side by '-2'.
k2 = 64

Simplifying
k2 = 64

Take the square root of each side:
k = {-8, 8}