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Simplifying (w + -11) * w = 180 Reorder the terms: (-11 + w) * w = 180 Reorder the terms for easier multiplication: w(-11 + w) = 180 (-11 * w + w * w) = 180 (-11w + w2) = 180 Solving -11w + w2 = 180 Solving for variable 'w'. Reorder the terms: -180 + -11w + w2 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + -11w + w2 = 0 Factor a trinomial. (-9 + -1w)(20 + -1w) = 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 '(20 + -1w)' equal to zero and attempt to solve: Simplifying 20 + -1w = 0 Solving 20 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1w = 0 + -20 -1w = 0 + -20 Combine like terms: 0 + -20 = -20 -1w = -20 Divide each side by '-1'. w = 20 Simplifying w = 20Solution
w = {-9, 20}
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