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Simplifying w2 + -1w + -306 = 0 Reorder the terms: -306 + -1w + w2 = 0 Solving -306 + -1w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-17 + -1w)(18 + -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 '(18 + -1w)' equal to zero and attempt to solve: Simplifying 18 + -1w = 0 Solving 18 + -1w = 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 + -1w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1w = 0 + -18 -1w = 0 + -18 Combine like terms: 0 + -18 = -18 -1w = -18 Divide each side by '-1'. w = 18 Simplifying w = 18Solution
w = {-17, 18}
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