16k^2-400=0

Solution for 16k^2-400=0 equation:

Simplifying
16k2 + -400 = 0

Reorder the terms:
-400 + 16k2 = 0

Solving
-400 + 16k2 = 0

Solving for variable 'k'.

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

Add '400' to each side of the equation.
-400 + 400 + 16k2 = 0 + 400

Combine like terms: -400 + 400 = 0
0 + 16k2 = 0 + 400
16k2 = 0 + 400

Combine like terms: 0 + 400 = 400
16k2 = 400

Divide each side by '16'.
k2 = 25

Simplifying
k2 = 25

Take the square root of each side:
k = {-5, 5}