4k^2-400=0

Solution for 4k^2-400=0 equation:

Simplifying
4k2 + -400 = 0

Reorder the terms:
-400 + 4k2 = 0

Solving
-400 + 4k2 = 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 + 4k2 = 0 + 400

Combine like terms: -400 + 400 = 0
0 + 4k2 = 0 + 400
4k2 = 0 + 400

Combine like terms: 0 + 400 = 400
4k2 = 400

Divide each side by '4'.
k2 = 100

Simplifying
k2 = 100

Take the square root of each side:
k = {-10, 10}