(w-6)(w+6)=0

Solution for (w-6)(w+6)=0 equation:

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

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

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

Multiply (-6 + w) * (6 + w)
(-6(6 + w) + w(6 + w)) = 0
((6 * -6 + w * -6) + w(6 + w)) = 0
((-36 + -6w) + w(6 + w)) = 0
(-36 + -6w + (6 * w + w * w)) = 0
(-36 + -6w + (6w + w2)) = 0

Combine like terms: -6w + 6w = 0
(-36 + 0 + w2) = 0
(-36 + w2) = 0

Solving
-36 + w2 = 0

Solving for variable 'w'.

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

Add '36' to each side of the equation.
-36 + 36 + w2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + w2 = 0 + 36
w2 = 0 + 36

Combine like terms: 0 + 36 = 36
w2 = 36

Simplifying
w2 = 36

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