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Simplifying w2 + 9w + -34020 = 0 Reorder the terms: -34020 + 9w + w2 = 0 Solving -34020 + 9w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-189 + -1w)(180 + -1w) = 0Subproblem 1
Set the factor '(-189 + -1w)' equal to zero and attempt to solve: Simplifying -189 + -1w = 0 Solving -189 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '189' to each side of the equation. -189 + 189 + -1w = 0 + 189 Combine like terms: -189 + 189 = 0 0 + -1w = 0 + 189 -1w = 0 + 189 Combine like terms: 0 + 189 = 189 -1w = 189 Divide each side by '-1'. w = -189 Simplifying w = -189Subproblem 2
Set the factor '(180 + -1w)' equal to zero and attempt to solve: Simplifying 180 + -1w = 0 Solving 180 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + -180 + -1w = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -1w = 0 + -180 -1w = 0 + -180 Combine like terms: 0 + -180 = -180 -1w = -180 Divide each side by '-1'. w = 180 Simplifying w = 180Solution
w = {-189, 180}
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