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Simplifying w2 = 18 + -17w Solving w2 = 18 + -17w Solving for variable 'w'. Reorder the terms: -18 + 17w + w2 = 18 + -17w + -18 + 17w Reorder the terms: -18 + 17w + w2 = 18 + -18 + -17w + 17w Combine like terms: 18 + -18 = 0 -18 + 17w + w2 = 0 + -17w + 17w -18 + 17w + w2 = -17w + 17w Combine like terms: -17w + 17w = 0 -18 + 17w + w2 = 0 Factor a trinomial. (-18 + -1w)(1 + -1w) = 0Subproblem 1
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 = -18Subproblem 2
Set the factor '(1 + -1w)' equal to zero and attempt to solve: Simplifying 1 + -1w = 0 Solving 1 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 0 + -1 -1w = 0 + -1 Combine like terms: 0 + -1 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1Solution
w = {-18, 1}
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