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Simplifying 0 = w2 + 9w + -162 Reorder the terms: 0 = -162 + 9w + w2 Solving 0 = -162 + 9w + w2 Solving for variable 'w'. Combine like terms: 0 + 162 = 162 162 + -9w + -1w2 = -162 + 9w + w2 + 162 + -9w + -1w2 Reorder the terms: 162 + -9w + -1w2 = -162 + 162 + 9w + -9w + w2 + -1w2 Combine like terms: -162 + 162 = 0 162 + -9w + -1w2 = 0 + 9w + -9w + w2 + -1w2 162 + -9w + -1w2 = 9w + -9w + w2 + -1w2 Combine like terms: 9w + -9w = 0 162 + -9w + -1w2 = 0 + w2 + -1w2 162 + -9w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 162 + -9w + -1w2 = 0 Factor a trinomial. (9 + -1w)(18 + w) = 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 '(18 + w)' equal to zero and attempt to solve: Simplifying 18 + w = 0 Solving 18 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + w = 0 + -18 w = 0 + -18 Combine like terms: 0 + -18 = -18 w = -18 Simplifying w = -18Solution
w = {9, -18}
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