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Simplifying (2w + 4)(w) = 880 Reorder the terms: (4 + 2w)(w) = 880 Reorder the terms for easier multiplication: w(4 + 2w) = 880 (4 * w + 2w * w) = 880 (4w + 2w2) = 880 Solving 4w + 2w2 = 880 Solving for variable 'w'. Reorder the terms: -880 + 4w + 2w2 = 880 + -880 Combine like terms: 880 + -880 = 0 -880 + 4w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-440 + 2w + w2) = 0 Factor a trinomial. 2((-22 + -1w)(20 + -1w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-22 + -1w)' equal to zero and attempt to solve: Simplifying -22 + -1w = 0 Solving -22 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1w = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1w = 0 + 22 -1w = 0 + 22 Combine like terms: 0 + 22 = 22 -1w = 22 Divide each side by '-1'. w = -22 Simplifying w = -22Subproblem 2
Set the factor '(20 + -1w)' equal to zero and attempt to solve: Simplifying 20 + -1w = 0 Solving 20 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1w = 0 + -20 -1w = 0 + -20 Combine like terms: 0 + -20 = -20 -1w = -20 Divide each side by '-1'. w = 20 Simplifying w = 20Solution
w = {-22, 20}
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