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Simplifying
(w + 4)(w + -4) = 0
Reorder the terms:
(4 + w)(w + -4) = 0
Reorder the terms:
(4 + w)(-4 + w) = 0
Multiply (4 + w) * (-4 + w)
(4(-4 + w) + w(-4 + w)) = 0
((-4 * 4 + w * 4) + w(-4 + w)) = 0
((-16 + 4w) + w(-4 + w)) = 0
(-16 + 4w + (-4 * w + w * w)) = 0
(-16 + 4w + (-4w + w2)) = 0
Combine like terms: 4w + -4w = 0
(-16 + 0 + w2) = 0
(-16 + w2) = 0
Solving
-16 + w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + w2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + w2 = 0 + 16
w2 = 0 + 16
Combine like terms: 0 + 16 = 16
w2 = 16
Simplifying
w2 = 16
Take the square root of each side:
w = {-4, 4}
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