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Simplifying w2 + 4w + 1 = -3w + -11 Reorder the terms: 1 + 4w + w2 = -3w + -11 Reorder the terms: 1 + 4w + w2 = -11 + -3w Solving 1 + 4w + w2 = -11 + -3w Solving for variable 'w'. Reorder the terms: 1 + 11 + 4w + 3w + w2 = -11 + -3w + 11 + 3w Combine like terms: 1 + 11 = 12 12 + 4w + 3w + w2 = -11 + -3w + 11 + 3w Combine like terms: 4w + 3w = 7w 12 + 7w + w2 = -11 + -3w + 11 + 3w Reorder the terms: 12 + 7w + w2 = -11 + 11 + -3w + 3w Combine like terms: -11 + 11 = 0 12 + 7w + w2 = 0 + -3w + 3w 12 + 7w + w2 = -3w + 3w Combine like terms: -3w + 3w = 0 12 + 7w + w2 = 0 Factor a trinomial. (4 + w)(3 + w) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(3 + w)' equal to zero and attempt to solve: Simplifying 3 + w = 0 Solving 3 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w = 0 + -3 w = 0 + -3 Combine like terms: 0 + -3 = -3 w = -3 Simplifying w = -3Solution
w = {-4, -3}
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