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Simplifying 10w2 + 11w + -8 = 0 Reorder the terms: -8 + 11w + 10w2 = 0 Solving -8 + 11w + 10w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + -5w)(1 + -2w) = 0Subproblem 1
Set the factor '(-8 + -5w)' equal to zero and attempt to solve: Simplifying -8 + -5w = 0 Solving -8 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5w = 0 + 8 -5w = 0 + 8 Combine like terms: 0 + 8 = 8 -5w = 8 Divide each side by '-5'. w = -1.6 Simplifying w = -1.6Subproblem 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 = {-1.6, 0.5}
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