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Simplifying -2w(w + -9)(w + 5) = 0 Reorder the terms: -2w(-9 + w)(w + 5) = 0 Reorder the terms: -2w(-9 + w)(5 + w) = 0 Multiply (-9 + w) * (5 + w) -2w(-9(5 + w) + w(5 + w)) = 0 -2w((5 * -9 + w * -9) + w(5 + w)) = 0 -2w((-45 + -9w) + w(5 + w)) = 0 -2w(-45 + -9w + (5 * w + w * w)) = 0 -2w(-45 + -9w + (5w + w2)) = 0 Combine like terms: -9w + 5w = -4w -2w(-45 + -4w + w2) = 0 (-45 * -2w + -4w * -2w + w2 * -2w) = 0 (90w + 8w2 + -2w3) = 0 Solving 90w + 8w2 + -2w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(45 + 4w + -1w2) = 0 Factor a trinomial. 2w((9 + -1w)(5 + w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 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 = 9Subproblem 3
Set the factor '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 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 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5Solution
w = {0, 9, -5}
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