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Simplifying 960 = w(2w + 8) Reorder the terms: 960 = w(8 + 2w) 960 = (8 * w + 2w * w) 960 = (8w + 2w2) Solving 960 = 8w + 2w2 Solving for variable 'w'. Reorder the terms: 960 + -8w + -2w2 = 8w + -8w + 2w2 + -2w2 Combine like terms: 8w + -8w = 0 960 + -8w + -2w2 = 0 + 2w2 + -2w2 960 + -8w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 960 + -8w + -2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(480 + -4w + -1w2) = 0 Factor a trinomial. 2((20 + -1w)(24 + w)) = 0 Ignore the factor 2.Subproblem 1
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 = 20Subproblem 2
Set the factor '(24 + w)' equal to zero and attempt to solve: Simplifying 24 + w = 0 Solving 24 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + w = 0 + -24 w = 0 + -24 Combine like terms: 0 + -24 = -24 w = -24 Simplifying w = -24Solution
w = {20, -24}
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