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Simplifying 5w2 = -26w + -5 Reorder the terms: 5w2 = -5 + -26w Solving 5w2 = -5 + -26w Solving for variable 'w'. Reorder the terms: 5 + 26w + 5w2 = -5 + -26w + 5 + 26w Reorder the terms: 5 + 26w + 5w2 = -5 + 5 + -26w + 26w Combine like terms: -5 + 5 = 0 5 + 26w + 5w2 = 0 + -26w + 26w 5 + 26w + 5w2 = -26w + 26w Combine like terms: -26w + 26w = 0 5 + 26w + 5w2 = 0 Factor a trinomial. (5 + w)(1 + 5w) = 0Subproblem 1
Set the factor '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5Subproblem 2
Set the factor '(1 + 5w)' equal to zero and attempt to solve: Simplifying 1 + 5w = 0 Solving 1 + 5w = 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 + 5w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5w = 0 + -1 5w = 0 + -1 Combine like terms: 0 + -1 = -1 5w = -1 Divide each side by '5'. w = -0.2 Simplifying w = -0.2Solution
w = {-5, -0.2}
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