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Simplifying (w + 5)(w2 + 3w) = 0 Reorder the terms: (5 + w)(w2 + 3w) = 0 Reorder the terms: (5 + w)(3w + w2) = 0 Multiply (5 + w) * (3w + w2) (5(3w + w2) + w(3w + w2)) = 0 ((3w * 5 + w2 * 5) + w(3w + w2)) = 0 ((15w + 5w2) + w(3w + w2)) = 0 (15w + 5w2 + (3w * w + w2 * w)) = 0 (15w + 5w2 + (3w2 + w3)) = 0 Combine like terms: 5w2 + 3w2 = 8w2 (15w + 8w2 + w3) = 0 Solving 15w + 8w2 + w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(15 + 8w + w2) = 0 Factor a trinomial. w((5 + w)(3 + w)) = 0Subproblem 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 + 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 3
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 = {0, -5, -3}
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