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Simplifying 63 = 2w2 + -11w Reorder the terms: 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. (9 + -1w)(7 + 2w) = 0Subproblem 1
Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 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 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9Subproblem 2
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 = -3.5Solution
w = {9, -3.5}
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