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Simplifying (w + 6)(w + -9) = 0 Reorder the terms: (6 + w)(w + -9) = 0 Reorder the terms: (6 + w)(-9 + w) = 0 Multiply (6 + w) * (-9 + w) (6(-9 + w) + w(-9 + w)) = 0 ((-9 * 6 + w * 6) + w(-9 + w)) = 0 ((-54 + 6w) + w(-9 + w)) = 0 (-54 + 6w + (-9 * w + w * w)) = 0 (-54 + 6w + (-9w + w2)) = 0 Combine like terms: 6w + -9w = -3w (-54 + -3w + w2) = 0 Solving -54 + -3w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-6 + -1w)(9 + -1w) = 0Subproblem 1
Set the factor '(-6 + -1w)' equal to zero and attempt to solve: Simplifying -6 + -1w = 0 Solving -6 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1w = 0 + 6 -1w = 0 + 6 Combine like terms: 0 + 6 = 6 -1w = 6 Divide each side by '-1'. w = -6 Simplifying w = -6Subproblem 2
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 = 9Solution
w = {-6, 9}
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