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Simplifying -3w(w + -5)(w + 9) = 0 Reorder the terms: -3w(-5 + w)(w + 9) = 0 Reorder the terms: -3w(-5 + w)(9 + w) = 0 Multiply (-5 + w) * (9 + w) -3w(-5(9 + w) + w(9 + w)) = 0 -3w((9 * -5 + w * -5) + w(9 + w)) = 0 -3w((-45 + -5w) + w(9 + w)) = 0 -3w(-45 + -5w + (9 * w + w * w)) = 0 -3w(-45 + -5w + (9w + w2)) = 0 Combine like terms: -5w + 9w = 4w -3w(-45 + 4w + w2) = 0 (-45 * -3w + 4w * -3w + w2 * -3w) = 0 (135w + -12w2 + -3w3) = 0 Solving 135w + -12w2 + -3w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3w'. 3w(45 + -4w + -1w2) = 0 Factor a trinomial. 3w((5 + -1w)(9 + w)) = 0 Ignore the factor 3.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 '(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 3
Set the factor '(9 + w)' equal to zero and attempt to solve: Simplifying 9 + w = 0 Solving 9 + w = 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 + w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w = 0 + -9 w = 0 + -9 Combine like terms: 0 + -9 = -9 w = -9 Simplifying w = -9Solution
w = {0, 5, -9}
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