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Simplifying 91 = w2 + 6w Reorder the terms: 91 = 6w + w2 Solving 91 = 6w + w2 Solving for variable 'w'. Reorder the terms: 91 + -6w + -1w2 = 6w + -6w + w2 + -1w2 Combine like terms: 6w + -6w = 0 91 + -6w + -1w2 = 0 + w2 + -1w2 91 + -6w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 91 + -6w + -1w2 = 0 Factor a trinomial. (7 + -1w)(13 + w) = 0Subproblem 1
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 = 7Subproblem 2
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 = -13Solution
w = {7, -13}
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