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Simplifying 88 = w(2w + -5) Reorder the terms: 88 = w(-5 + 2w) 88 = (-5 * w + 2w * w) 88 = (-5w + 2w2) Solving 88 = -5w + 2w2 Solving for variable 'w'. Reorder the terms: 88 + 5w + -2w2 = -5w + 5w + 2w2 + -2w2 Combine like terms: -5w + 5w = 0 88 + 5w + -2w2 = 0 + 2w2 + -2w2 88 + 5w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 88 + 5w + -2w2 = 0 Factor a trinomial. (8 + -1w)(11 + 2w) = 0Subproblem 1
Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8Subproblem 2
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 = -5.5Solution
w = {8, -5.5}
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