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Simplifying w2 + -17w + 81 = w Reorder the terms: 81 + -17w + w2 = w Solving 81 + -17w + w2 = w Solving for variable 'w'. Reorder the terms: 81 + -17w + -1w + w2 = w + -1w Combine like terms: -17w + -1w = -18w 81 + -18w + w2 = w + -1w Combine like terms: w + -1w = 0 81 + -18w + w2 = 0 Factor a trinomial. (9 + -1w)(9 + -1w) = 0Subproblem 1
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 = 9Subproblem 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 = {9, 9}
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