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Simplifying 0 = w2 + -1w + -12 Reorder the terms: 0 = -12 + -1w + w2 Solving 0 = -12 + -1w + w2 Solving for variable 'w'. Combine like terms: 0 + 12 = 12 12 + w + -1w2 = -12 + -1w + w2 + 12 + w + -1w2 Reorder the terms: 12 + w + -1w2 = -12 + 12 + -1w + w + w2 + -1w2 Combine like terms: -12 + 12 = 0 12 + w + -1w2 = 0 + -1w + w + w2 + -1w2 12 + w + -1w2 = -1w + w + w2 + -1w2 Combine like terms: -1w + w = 0 12 + w + -1w2 = 0 + w2 + -1w2 12 + w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 12 + w + -1w2 = 0 Factor a trinomial. (4 + -1w)(3 + w) = 0Subproblem 1
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 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 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. 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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