81=16k^2

Solution for 81=16k^2 equation:

Simplifying
81 = 16k2

Solving
81 = 16k2

Solving for variable 'k'.

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

Add '-16k2' to each side of the equation.
81 + -16k2 = 16k2 + -16k2

Combine like terms: 16k2 + -16k2 = 0
81 + -16k2 = 0

Add '-81' to each side of the equation.
81 + -81 + -16k2 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -16k2 = 0 + -81
-16k2 = 0 + -81

Combine like terms: 0 + -81 = -81
-16k2 = -81

Divide each side by '-16'.
k2 = 5.0625

Simplifying
k2 = 5.0625

Take the square root of each side:
k = {-2.25, 2.25}