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Simplifying 3w2 + 15w + -612 = 0 Reorder the terms: -612 + 15w + 3w2 = 0 Solving -612 + 15w + 3w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3'. 3(-204 + 5w + w2) = 0 Factor a trinomial. 3((-17 + -1w)(12 + -1w)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-17 + -1w)' equal to zero and attempt to solve: Simplifying -17 + -1w = 0 Solving -17 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1w = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1w = 0 + 17 -1w = 0 + 17 Combine like terms: 0 + 17 = 17 -1w = 17 Divide each side by '-1'. w = -17 Simplifying w = -17Subproblem 2
Set the factor '(12 + -1w)' equal to zero and attempt to solve: Simplifying 12 + -1w = 0 Solving 12 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 0 + -12 -1w = 0 + -12 Combine like terms: 0 + -12 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12Solution
w = {-17, 12}
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