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Simplifying 330w2 + -266w + 48 = 0 Reorder the terms: 48 + -266w + 330w2 = 0 Solving 48 + -266w + 330w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(24 + -133w + 165w2) = 0 Factor a trinomial. 2((3 + -11w)(8 + -15w)) = 0 Ignore the factor 2.Subproblem 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 '(8 + -15w)' equal to zero and attempt to solve: Simplifying 8 + -15w = 0 Solving 8 + -15w = 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 + -15w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -15w = 0 + -8 -15w = 0 + -8 Combine like terms: 0 + -8 = -8 -15w = -8 Divide each side by '-15'. w = 0.5333333333 Simplifying w = 0.5333333333Solution
w = {0.2727272727, 0.5333333333}
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