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Simplifying 33 = (2w + -5) * w Reorder the terms: 33 = (-5 + 2w) * w Reorder the terms for easier multiplication: 33 = w(-5 + 2w) 33 = (-5 * w + 2w * w) 33 = (-5w + 2w2) Solving 33 = -5w + 2w2 Solving for variable 'w'. Reorder the terms: 33 + 5w + -2w2 = -5w + 5w + 2w2 + -2w2 Combine like terms: -5w + 5w = 0 33 + 5w + -2w2 = 0 + 2w2 + -2w2 33 + 5w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 33 + 5w + -2w2 = 0 Factor a trinomial. (11 + -2w)(3 + 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 '(3 + w)' equal to zero and attempt to solve: Simplifying 3 + w = 0 Solving 3 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w = 0 + -3 w = 0 + -3 Combine like terms: 0 + -3 = -3 w = -3 Simplifying w = -3Solution
w = {5.5, -3}
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