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Simplifying 0 = w2 + 2w + -24 Reorder the terms: 0 = -24 + 2w + w2 Solving 0 = -24 + 2w + w2 Solving for variable 'w'. Combine like terms: 0 + 24 = 24 24 + -2w + -1w2 = -24 + 2w + w2 + 24 + -2w + -1w2 Reorder the terms: 24 + -2w + -1w2 = -24 + 24 + 2w + -2w + w2 + -1w2 Combine like terms: -24 + 24 = 0 24 + -2w + -1w2 = 0 + 2w + -2w + w2 + -1w2 24 + -2w + -1w2 = 2w + -2w + w2 + -1w2 Combine like terms: 2w + -2w = 0 24 + -2w + -1w2 = 0 + w2 + -1w2 24 + -2w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 24 + -2w + -1w2 = 0 Factor a trinomial. (4 + -1w)(6 + 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 '(6 + w)' equal to zero and attempt to solve: Simplifying 6 + w = 0 Solving 6 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + w = 0 + -6 w = 0 + -6 Combine like terms: 0 + -6 = -6 w = -6 Simplifying w = -6Solution
w = {4, -6}
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