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Simplifying 2w2 + 2w + -480 = 0 Reorder the terms: -480 + 2w + 2w2 = 0 Solving -480 + 2w + 2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(-240 + w + w2) = 0 Factor a trinomial. 2((-16 + -1w)(15 + -1w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-16 + -1w)' equal to zero and attempt to solve: Simplifying -16 + -1w = 0 Solving -16 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1w = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1w = 0 + 16 -1w = 0 + 16 Combine like terms: 0 + 16 = 16 -1w = 16 Divide each side by '-1'. w = -16 Simplifying w = -16Subproblem 2
Set the factor '(15 + -1w)' equal to zero and attempt to solve: Simplifying 15 + -1w = 0 Solving 15 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1w = 0 + -15 -1w = 0 + -15 Combine like terms: 0 + -15 = -15 -1w = -15 Divide each side by '-1'. w = 15 Simplifying w = 15Solution
w = {-16, 15}
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