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Simplifying w2 = -14 + -9w Solving w2 = -14 + -9w Solving for variable 'w'. Reorder the terms: 14 + 9w + w2 = -14 + -9w + 14 + 9w Reorder the terms: 14 + 9w + w2 = -14 + 14 + -9w + 9w Combine like terms: -14 + 14 = 0 14 + 9w + w2 = 0 + -9w + 9w 14 + 9w + w2 = -9w + 9w Combine like terms: -9w + 9w = 0 14 + 9w + w2 = 0 Factor a trinomial. (7 + w)(2 + w) = 0Subproblem 1
Set the factor '(7 + w)' equal to zero and attempt to solve: Simplifying 7 + w = 0 Solving 7 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + w = 0 + -7 w = 0 + -7 Combine like terms: 0 + -7 = -7 w = -7 Simplifying w = -7Subproblem 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 = {-7, -2}
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