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Simplifying (5w)(5w + 18) = -81 Remove parenthesis around (5w) 5w(5w + 18) = -81 Reorder the terms: 5w(18 + 5w) = -81 (18 * 5w + 5w * 5w) = -81 (90w + 25w2) = -81 Solving 90w + 25w2 = -81 Solving for variable 'w'. Reorder the terms: 81 + 90w + 25w2 = -81 + 81 Combine like terms: -81 + 81 = 0 81 + 90w + 25w2 = 0 Factor a trinomial. (9 + 5w)(9 + 5w) = 0Subproblem 1
Set the factor '(9 + 5w)' equal to zero and attempt to solve: Simplifying 9 + 5w = 0 Solving 9 + 5w = 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 + 5w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5w = 0 + -9 5w = 0 + -9 Combine like terms: 0 + -9 = -9 5w = -9 Divide each side by '5'. w = -1.8 Simplifying w = -1.8Subproblem 2
Set the factor '(9 + 5w)' equal to zero and attempt to solve: Simplifying 9 + 5w = 0 Solving 9 + 5w = 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 + 5w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5w = 0 + -9 5w = 0 + -9 Combine like terms: 0 + -9 = -9 5w = -9 Divide each side by '5'. w = -1.8 Simplifying w = -1.8Solution
w = {-1.8, -1.8}
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