64k^2+9=13

Solution for 64k^2+9=13 equation:

Simplifying
64k2 + 9 = 13

Reorder the terms:
9 + 64k2 = 13

Solving
9 + 64k2 = 13

Solving for variable 'k'.

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

Add '-9' to each side of the equation.
9 + -9 + 64k2 = 13 + -9

Combine like terms: 9 + -9 = 0
0 + 64k2 = 13 + -9
64k2 = 13 + -9

Combine like terms: 13 + -9 = 4
64k2 = 4

Divide each side by '64'.
k2 = 0.0625

Simplifying
k2 = 0.0625

Take the square root of each side:
k = {-0.25, 0.25}