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Simplifying 2w2 + -5w + -117 = 0 Reorder the terms: -117 + -5w + 2w2 = 0 Solving -117 + -5w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (-13 + -2w)(9 + -1w) = 0Subproblem 1
Set the factor '(-13 + -2w)' equal to zero and attempt to solve: Simplifying -13 + -2w = 0 Solving -13 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2w = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2w = 0 + 13 -2w = 0 + 13 Combine like terms: 0 + 13 = 13 -2w = 13 Divide each side by '-2'. w = -6.5 Simplifying w = -6.5Subproblem 2
Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9Solution
w = {-6.5, 9}
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