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Simplifying 0 = w2 + 10w + -56 Reorder the terms: 0 = -56 + 10w + w2 Solving 0 = -56 + 10w + w2 Solving for variable 'w'. Combine like terms: 0 + 56 = 56 56 + -10w + -1w2 = -56 + 10w + w2 + 56 + -10w + -1w2 Reorder the terms: 56 + -10w + -1w2 = -56 + 56 + 10w + -10w + w2 + -1w2 Combine like terms: -56 + 56 = 0 56 + -10w + -1w2 = 0 + 10w + -10w + w2 + -1w2 56 + -10w + -1w2 = 10w + -10w + w2 + -1w2 Combine like terms: 10w + -10w = 0 56 + -10w + -1w2 = 0 + w2 + -1w2 56 + -10w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 56 + -10w + -1w2 = 0 Factor a trinomial. (4 + -1w)(14 + 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 '(14 + w)' equal to zero and attempt to solve: Simplifying 14 + w = 0 Solving 14 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + w = 0 + -14 w = 0 + -14 Combine like terms: 0 + -14 = -14 w = -14 Simplifying w = -14Solution
w = {4, -14}
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