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Simplifying w2 = 13w + -40 Reorder the terms: w2 = -40 + 13w Solving w2 = -40 + 13w Solving for variable 'w'. Reorder the terms: 40 + -13w + w2 = -40 + 13w + 40 + -13w Reorder the terms: 40 + -13w + w2 = -40 + 40 + 13w + -13w Combine like terms: -40 + 40 = 0 40 + -13w + w2 = 0 + 13w + -13w 40 + -13w + w2 = 13w + -13w Combine like terms: 13w + -13w = 0 40 + -13w + w2 = 0 Factor a trinomial. (5 + -1w)(8 + -1w) = 0Subproblem 1
Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 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 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Subproblem 2
Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8Solution
w = {5, 8}
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