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Simplifying w(w + 9) = 136 Reorder the terms: w(9 + w) = 136 (9 * w + w * w) = 136 (9w + w2) = 136 Solving 9w + w2 = 136 Solving for variable 'w'. Reorder the terms: -136 + 9w + w2 = 136 + -136 Combine like terms: 136 + -136 = 0 -136 + 9w + w2 = 0 Factor a trinomial. (-17 + -1w)(8 + -1w) = 0Subproblem 1
Set the factor '(-17 + -1w)' equal to zero and attempt to solve: Simplifying -17 + -1w = 0 Solving -17 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1w = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1w = 0 + 17 -1w = 0 + 17 Combine like terms: 0 + 17 = 17 -1w = 17 Divide each side by '-1'. w = -17 Simplifying w = -17Subproblem 2
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 = 8Solution
w = {-17, 8}
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