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Simplifying w2 = -28 + -11w Solving w2 = -28 + -11w Solving for variable 'w'. Reorder the terms: 28 + 11w + w2 = -28 + -11w + 28 + 11w Reorder the terms: 28 + 11w + w2 = -28 + 28 + -11w + 11w Combine like terms: -28 + 28 = 0 28 + 11w + w2 = 0 + -11w + 11w 28 + 11w + w2 = -11w + 11w Combine like terms: -11w + 11w = 0 28 + 11w + w2 = 0 Factor a trinomial. (7 + w)(4 + 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 '(4 + w)' equal to zero and attempt to solve: Simplifying 4 + w = 0 Solving 4 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w = 0 + -4 w = 0 + -4 Combine like terms: 0 + -4 = -4 w = -4 Simplifying w = -4Solution
w = {-7, -4}
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