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Simplifying w2 = -10 + -7w Solving w2 = -10 + -7w Solving for variable 'w'. Reorder the terms: 10 + 7w + w2 = -10 + -7w + 10 + 7w Reorder the terms: 10 + 7w + w2 = -10 + 10 + -7w + 7w Combine like terms: -10 + 10 = 0 10 + 7w + w2 = 0 + -7w + 7w 10 + 7w + w2 = -7w + 7w Combine like terms: -7w + 7w = 0 10 + 7w + w2 = 0 Factor a trinomial. (5 + w)(2 + w) = 0Subproblem 1
Set the factor '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5Subproblem 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 = {-5, -2}
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