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Simplifying 99 = (2w + 7) * w Reorder the terms: 99 = (7 + 2w) * w Reorder the terms for easier multiplication: 99 = w(7 + 2w) 99 = (7 * w + 2w * w) 99 = (7w + 2w2) Solving 99 = 7w + 2w2 Solving for variable 'w'. Reorder the terms: 99 + -7w + -2w2 = 7w + -7w + 2w2 + -2w2 Combine like terms: 7w + -7w = 0 99 + -7w + -2w2 = 0 + 2w2 + -2w2 99 + -7w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 99 + -7w + -2w2 = 0 Factor a trinomial. (11 + -2w)(9 + w) = 0Subproblem 1
Set the factor '(11 + -2w)' equal to zero and attempt to solve: Simplifying 11 + -2w = 0 Solving 11 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2w = 0 + -11 -2w = 0 + -11 Combine like terms: 0 + -11 = -11 -2w = -11 Divide each side by '-2'. w = 5.5 Simplifying w = 5.5Subproblem 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 = {5.5, -9}
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