4k^2-57=64

Solution for 4k^2-57=64 equation:

Simplifying
4k2 + -57 = 64

Reorder the terms:
-57 + 4k2 = 64

Solving
-57 + 4k2 = 64

Solving for variable 'k'.

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

Add '57' to each side of the equation.
-57 + 57 + 4k2 = 64 + 57

Combine like terms: -57 + 57 = 0
0 + 4k2 = 64 + 57
4k2 = 64 + 57

Combine like terms: 64 + 57 = 121
4k2 = 121

Divide each side by '4'.
k2 = 30.25

Simplifying
k2 = 30.25

Take the square root of each side:
k = {-5.5, 5.5}