5k^2-23=57

Solution for 5k^2-23=57 equation:

Simplifying
5k2 + -23 = 57

Reorder the terms:
-23 + 5k2 = 57

Solving
-23 + 5k2 = 57

Solving for variable 'k'.

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

Add '23' to each side of the equation.
-23 + 23 + 5k2 = 57 + 23

Combine like terms: -23 + 23 = 0
0 + 5k2 = 57 + 23
5k2 = 57 + 23

Combine like terms: 57 + 23 = 80
5k2 = 80

Divide each side by '5'.
k2 = 16

Simplifying
k2 = 16

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