(kw+6)(kw-6)=

Solution for (kw+6)(kw-6)= equation:

Simplifying
(kw + 6)(kw + -6) = 0

Reorder the terms:
(6 + kw)(kw + -6) = 0

Reorder the terms:
(6 + kw)(-6 + kw) = 0

Multiply (6 + kw) * (-6 + kw)
(6(-6 + kw) + kw(-6 + kw)) = 0
((-6 * 6 + kw * 6) + kw(-6 + kw)) = 0
((-36 + 6kw) + kw(-6 + kw)) = 0
(-36 + 6kw + (-6 * kw + kw * kw)) = 0
(-36 + 6kw + (-6kw + k2w2)) = 0

Combine like terms: 6kw + -6kw = 0
(-36 + 0 + k2w2) = 0
(-36 + k2w2) = 0

Solving
-36 + k2w2 = 0

Solving for variable 'k'.

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

Add '36' to each side of the equation.
-36 + 36 + k2w2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + k2w2 = 0 + 36
k2w2 = 0 + 36

Combine like terms: 0 + 36 = 36
k2w2 = 36

Divide each side by 'w2'.
k2 = 36w-2

Simplifying
k2 = 36w-2

Take the square root of each side:
k = {-6w-1, 6w-1}