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Simplifying 2w(5w + 4) = -5w + -4 Reorder the terms: 2w(4 + 5w) = -5w + -4 (4 * 2w + 5w * 2w) = -5w + -4 (8w + 10w2) = -5w + -4 Reorder the terms: 8w + 10w2 = -4 + -5w Solving 8w + 10w2 = -4 + -5w Solving for variable 'w'. Reorder the terms: 4 + 8w + 5w + 10w2 = -4 + -5w + 4 + 5w Combine like terms: 8w + 5w = 13w 4 + 13w + 10w2 = -4 + -5w + 4 + 5w Reorder the terms: 4 + 13w + 10w2 = -4 + 4 + -5w + 5w Combine like terms: -4 + 4 = 0 4 + 13w + 10w2 = 0 + -5w + 5w 4 + 13w + 10w2 = -5w + 5w Combine like terms: -5w + 5w = 0 4 + 13w + 10w2 = 0 Factor a trinomial. (4 + 5w)(1 + 2w) = 0Subproblem 1
Set the factor '(4 + 5w)' equal to zero and attempt to solve: Simplifying 4 + 5w = 0 Solving 4 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5w = 0 + -4 5w = 0 + -4 Combine like terms: 0 + -4 = -4 5w = -4 Divide each side by '5'. w = -0.8 Simplifying w = -0.8Subproblem 2
Set the factor '(1 + 2w)' equal to zero and attempt to solve: Simplifying 1 + 2w = 0 Solving 1 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2w = 0 + -1 2w = 0 + -1 Combine like terms: 0 + -1 = -1 2w = -1 Divide each side by '2'. w = -0.5 Simplifying w = -0.5Solution
w = {-0.8, -0.5}
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