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Simplifying 15w + 12 = -3w2 Reorder the terms: 12 + 15w = -3w2 Solving 12 + 15w = -3w2 Solving for variable 'w'. Combine like terms: -3w2 + 3w2 = 0 12 + 15w + 3w2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 5w + w2) = 0 Factor a trinomial. 3((4 + w)(1 + w)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + w)' equal to zero and attempt to solve: Simplifying 4 + w = 0 Solving 4 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w = 0 + -4 w = 0 + -4 Combine like terms: 0 + -4 = -4 w = -4 Simplifying w = -4Subproblem 2
Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Solution
w = {-4, -1}
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