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Simplifying w(w + 5) + 3(w + 5) = 0 Reorder the terms: w(5 + w) + 3(w + 5) = 0 (5 * w + w * w) + 3(w + 5) = 0 (5w + w2) + 3(w + 5) = 0 Reorder the terms: 5w + w2 + 3(5 + w) = 0 5w + w2 + (5 * 3 + w * 3) = 0 5w + w2 + (15 + 3w) = 0 Reorder the terms: 15 + 5w + 3w + w2 = 0 Combine like terms: 5w + 3w = 8w 15 + 8w + w2 = 0 Solving 15 + 8w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (5 + w)(3 + w) = 0Subproblem 1
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 = -5Subproblem 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 = {-5, -3}
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