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Simplifying 180 = w2 + 8w Reorder the terms: 180 = 8w + w2 Solving 180 = 8w + w2 Solving for variable 'w'. Reorder the terms: 180 + -8w + -1w2 = 8w + -8w + w2 + -1w2 Combine like terms: 8w + -8w = 0 180 + -8w + -1w2 = 0 + w2 + -1w2 180 + -8w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 180 + -8w + -1w2 = 0 Factor a trinomial. (10 + -1w)(18 + w) = 0Subproblem 1
Set the factor '(10 + -1w)' equal to zero and attempt to solve: Simplifying 10 + -1w = 0 Solving 10 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1w = 0 + -10 -1w = 0 + -10 Combine like terms: 0 + -10 = -10 -1w = -10 Divide each side by '-1'. w = 10 Simplifying w = 10Subproblem 2
Set the factor '(18 + w)' equal to zero and attempt to solve: Simplifying 18 + w = 0 Solving 18 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + w = 0 + -18 w = 0 + -18 Combine like terms: 0 + -18 = -18 w = -18 Simplifying w = -18Solution
w = {10, -18}
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