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Simplifying 11w2 + -26w + 8 = 0 Reorder the terms: 8 + -26w + 11w2 = 0 Solving 8 + -26w + 11w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + -11w)(2 + -1w) = 0Subproblem 1
Set the factor '(4 + -11w)' equal to zero and attempt to solve: Simplifying 4 + -11w = 0 Solving 4 + -11w = 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 + -11w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11w = 0 + -4 -11w = 0 + -4 Combine like terms: 0 + -4 = -4 -11w = -4 Divide each side by '-11'. w = 0.3636363636 Simplifying w = 0.3636363636Subproblem 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 = {0.3636363636, 2}
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