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Simplifying -15w(-10w + -9w + 6) = 0 Reorder the terms: -15w(6 + -10w + -9w) = 0 Combine like terms: -10w + -9w = -19w -15w(6 + -19w) = 0 (6 * -15w + -19w * -15w) = 0 (-90w + 285w2) = 0 Solving -90w + 285w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '15w'. 15w(-6 + 19w) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(-6 + 19w)' equal to zero and attempt to solve: Simplifying -6 + 19w = 0 Solving -6 + 19w = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 19w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 19w = 0 + 6 19w = 0 + 6 Combine like terms: 0 + 6 = 6 19w = 6 Divide each side by '19'. w = 0.3157894737 Simplifying w = 0.3157894737Solution
w = {0, 0.3157894737}
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