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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}
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