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Simplifying 30w2 + -11w = -1 Reorder the terms: -11w + 30w2 = -1 Solving -11w + 30w2 = -1 Solving for variable 'w'. Reorder the terms: 1 + -11w + 30w2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -11w + 30w2 = 0 Factor a trinomial. (1 + -6w)(1 + -5w) = 0Subproblem 1
Set the factor '(1 + -6w)' equal to zero and attempt to solve: Simplifying 1 + -6w = 0 Solving 1 + -6w = 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 + -6w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6w = 0 + -1 -6w = 0 + -1 Combine like terms: 0 + -1 = -1 -6w = -1 Divide each side by '-6'. w = 0.1666666667 Simplifying w = 0.1666666667Subproblem 2
Set the factor '(1 + -5w)' equal to zero and attempt to solve: Simplifying 1 + -5w = 0 Solving 1 + -5w = 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 + -5w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5w = 0 + -1 -5w = 0 + -1 Combine like terms: 0 + -1 = -1 -5w = -1 Divide each side by '-5'. w = 0.2 Simplifying w = 0.2Solution
w = {0.1666666667, 0.2}
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