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Simplifying 6w2 + 11w + 8w2 + -15w = 0 Reorder the terms: 11w + -15w + 6w2 + 8w2 = 0 Combine like terms: 11w + -15w = -4w -4w + 6w2 + 8w2 = 0 Combine like terms: 6w2 + 8w2 = 14w2 -4w + 14w2 = 0 Solving -4w + 14w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(-2 + 7w) = 0 Ignore the factor 2.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 '(-2 + 7w)' equal to zero and attempt to solve: Simplifying -2 + 7w = 0 Solving -2 + 7w = 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 + 7w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7w = 0 + 2 7w = 0 + 2 Combine like terms: 0 + 2 = 2 7w = 2 Divide each side by '7'. w = 0.2857142857 Simplifying w = 0.2857142857Solution
w = {0, 0.2857142857}
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