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Simplifying (w + -9)(w + 5) = 0 Reorder the terms: (-9 + w)(w + 5) = 0 Reorder the terms: (-9 + w)(5 + w) = 0 Multiply (-9 + w) * (5 + w) (-9(5 + w) + w(5 + w)) = 0 ((5 * -9 + w * -9) + w(5 + w)) = 0 ((-45 + -9w) + w(5 + w)) = 0 (-45 + -9w + (5 * w + w * w)) = 0 (-45 + -9w + (5w + w2)) = 0 Combine like terms: -9w + 5w = -4w (-45 + -4w + w2) = 0 Solving -45 + -4w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-5 + -1w)(9 + -1w) = 0Subproblem 1
Set the factor '(-5 + -1w)' equal to zero and attempt to solve: Simplifying -5 + -1w = 0 Solving -5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1w = 0 + 5 -1w = 0 + 5 Combine like terms: 0 + 5 = 5 -1w = 5 Divide each side by '-1'. w = -5 Simplifying w = -5Subproblem 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 = {-5, 9}
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