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Simplifying 18 = w(w + -7) Reorder the terms: 18 = w(-7 + w) 18 = (-7 * w + w * w) 18 = (-7w + w2) Solving 18 = -7w + w2 Solving for variable 'w'. Reorder the terms: 18 + 7w + -1w2 = -7w + 7w + w2 + -1w2 Combine like terms: -7w + 7w = 0 18 + 7w + -1w2 = 0 + w2 + -1w2 18 + 7w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 18 + 7w + -1w2 = 0 Factor a trinomial. (9 + -1w)(2 + 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 '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2Solution
w = {9, -2}
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