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Simplifying 20w + -1w2 + -91 = 0 Reorder the terms: -91 + 20w + -1w2 = 0 Solving -91 + 20w + -1w2 = 0 Solving for variable 'w'. Factor a trinomial. (-13 + w)(7 + -1w) = 0Subproblem 1
Set the factor '(-13 + w)' equal to zero and attempt to solve: Simplifying -13 + w = 0 Solving -13 + w = 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 + w = 0 + 13 Combine like terms: -13 + 13 = 0 0 + w = 0 + 13 w = 0 + 13 Combine like terms: 0 + 13 = 13 w = 13 Simplifying w = 13Subproblem 2
Set the factor '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7Solution
w = {13, 7}
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