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Simplifying 10w2 + -11w + -18 = 0 Reorder the terms: -18 + -11w + 10w2 = 0 Solving -18 + -11w + 10w2 = 0 Solving for variable 'w'. Factor a trinomial. (-9 + -10w)(2 + -1w) = 0Subproblem 1
Set the factor '(-9 + -10w)' equal to zero and attempt to solve: Simplifying -9 + -10w = 0 Solving -9 + -10w = 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 + -10w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -10w = 0 + 9 -10w = 0 + 9 Combine like terms: 0 + 9 = 9 -10w = 9 Divide each side by '-10'. w = -0.9 Simplifying w = -0.9Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {-0.9, 2}
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