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