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Simplifying (w + -16)(w + 9) = 0 Reorder the terms: (-16 + w)(w + 9) = 0 Reorder the terms: (-16 + w)(9 + w) = 0 Multiply (-16 + w) * (9 + w) (-16(9 + w) + w(9 + w)) = 0 ((9 * -16 + w * -16) + w(9 + w)) = 0 ((-144 + -16w) + w(9 + w)) = 0 (-144 + -16w + (9 * w + w * w)) = 0 (-144 + -16w + (9w + w2)) = 0 Combine like terms: -16w + 9w = -7w (-144 + -7w + w2) = 0 Solving -144 + -7w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-9 + -1w)(16 + -1w) = 0Subproblem 1
Set the factor '(-9 + -1w)' equal to zero and attempt to solve: Simplifying -9 + -1w = 0 Solving -9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1w = 0 + 9 -1w = 0 + 9 Combine like terms: 0 + 9 = 9 -1w = 9 Divide each side by '-1'. w = -9 Simplifying w = -9Subproblem 2
Set the factor '(16 + -1w)' equal to zero and attempt to solve: Simplifying 16 + -1w = 0 Solving 16 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1w = 0 + -16 -1w = 0 + -16 Combine like terms: 0 + -16 = -16 -1w = -16 Divide each side by '-1'. w = 16 Simplifying w = 16Solution
w = {-9, 16}
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