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Simplifying -6w2 + -11w + -5 = 0 Reorder the terms: -5 + -11w + -6w2 = 0 Solving -5 + -11w + -6w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 11w + 6w2) = 0 Factor a trinomial. -1((1 + w)(5 + 6w)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 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 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Subproblem 2
Set the factor '(5 + 6w)' equal to zero and attempt to solve: Simplifying 5 + 6w = 0 Solving 5 + 6w = 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 + 6w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6w = 0 + -5 6w = 0 + -5 Combine like terms: 0 + -5 = -5 6w = -5 Divide each side by '6'. w = -0.8333333333 Simplifying w = -0.8333333333Solution
w = {-1, -0.8333333333}
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