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Simplifying 15w2 + 31w + -24 = 0 Reorder the terms: -24 + 31w + 15w2 = 0 Solving -24 + 31w + 15w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + -3w)(3 + -5w) = 0Subproblem 1
Set the factor '(-8 + -3w)' equal to zero and attempt to solve: Simplifying -8 + -3w = 0 Solving -8 + -3w = 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 + -3w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3w = 0 + 8 -3w = 0 + 8 Combine like terms: 0 + 8 = 8 -3w = 8 Divide each side by '-3'. w = -2.666666667 Simplifying w = -2.666666667Subproblem 2
Set the factor '(3 + -5w)' equal to zero and attempt to solve: Simplifying 3 + -5w = 0 Solving 3 + -5w = 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 + -5w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5w = 0 + -3 -5w = 0 + -3 Combine like terms: 0 + -3 = -3 -5w = -3 Divide each side by '-5'. w = 0.6 Simplifying w = 0.6Solution
w = {-2.666666667, 0.6}
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