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Simplifying 63 = (11 + 2w)(w) Reorder the terms for easier multiplication: 63 = w(11 + 2w) 63 = (11 * w + 2w * w) 63 = (11w + 2w2) Solving 63 = 11w + 2w2 Solving for variable 'w'. Reorder the terms: 63 + -11w + -2w2 = 11w + -11w + 2w2 + -2w2 Combine like terms: 11w + -11w = 0 63 + -11w + -2w2 = 0 + 2w2 + -2w2 63 + -11w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 63 + -11w + -2w2 = 0 Factor a trinomial. (7 + -2w)(9 + w) = 0Subproblem 1
Set the factor '(7 + -2w)' equal to zero and attempt to solve: Simplifying 7 + -2w = 0 Solving 7 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2w = 0 + -7 -2w = 0 + -7 Combine like terms: 0 + -7 = -7 -2w = -7 Divide each side by '-2'. w = 3.5 Simplifying w = 3.5Subproblem 2
Set the factor '(9 + w)' equal to zero and attempt to solve: Simplifying 9 + w = 0 Solving 9 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w = 0 + -9 w = 0 + -9 Combine like terms: 0 + -9 = -9 w = -9 Simplifying w = -9Solution
w = {3.5, -9}
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