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Simplifying 11w2 + -14w + 3 = 0 Reorder the terms: 3 + -14w + 11w2 = 0 Solving 3 + -14w + 11w2 = 0 Solving for variable 'w'. Factor a trinomial. (3 + -11w)(1 + -1w) = 0Subproblem 1
Set the factor '(3 + -11w)' equal to zero and attempt to solve: Simplifying 3 + -11w = 0 Solving 3 + -11w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -11w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11w = 0 + -3 -11w = 0 + -3 Combine like terms: 0 + -3 = -3 -11w = -3 Divide each side by '-11'. w = 0.2727272727 Simplifying w = 0.2727272727Subproblem 2
Set the factor '(1 + -1w)' equal to zero and attempt to solve: Simplifying 1 + -1w = 0 Solving 1 + -1w = 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 + -1w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 0 + -1 -1w = 0 + -1 Combine like terms: 0 + -1 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1Solution
w = {0.2727272727, 1}
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