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Simplifying 5(w + -9)(-1w + -3) = 0 Reorder the terms: 5(-9 + w)(-1w + -3) = 0 Reorder the terms: 5(-9 + w)(-3 + -1w) = 0 Multiply (-9 + w) * (-3 + -1w) 5(-9(-3 + -1w) + w(-3 + -1w)) = 0 5((-3 * -9 + -1w * -9) + w(-3 + -1w)) = 0 5((27 + 9w) + w(-3 + -1w)) = 0 5(27 + 9w + (-3 * w + -1w * w)) = 0 5(27 + 9w + (-3w + -1w2)) = 0 Combine like terms: 9w + -3w = 6w 5(27 + 6w + -1w2) = 0 (27 * 5 + 6w * 5 + -1w2 * 5) = 0 (135 + 30w + -5w2) = 0 Solving 135 + 30w + -5w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5'. 5(27 + 6w + -1w2) = 0 Factor a trinomial. 5((9 + -1w)(3 + w)) = 0 Ignore the factor 5.Subproblem 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 '(3 + w)' equal to zero and attempt to solve: Simplifying 3 + w = 0 Solving 3 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w = 0 + -3 w = 0 + -3 Combine like terms: 0 + -3 = -3 w = -3 Simplifying w = -3Solution
w = {9, -3}
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