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Simplifying 15w2 + -14w = 8 Reorder the terms: -14w + 15w2 = 8 Solving -14w + 15w2 = 8 Solving for variable 'w'. Reorder the terms: -8 + -14w + 15w2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -14w + 15w2 = 0 Factor a trinomial. (-2 + -5w)(4 + -3w) = 0Subproblem 1
Set the factor '(-2 + -5w)' equal to zero and attempt to solve: Simplifying -2 + -5w = 0 Solving -2 + -5w = 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 + -5w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5w = 0 + 2 -5w = 0 + 2 Combine like terms: 0 + 2 = 2 -5w = 2 Divide each side by '-5'. w = -0.4 Simplifying w = -0.4Subproblem 2
Set the factor '(4 + -3w)' equal to zero and attempt to solve: Simplifying 4 + -3w = 0 Solving 4 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3w = 0 + -4 -3w = 0 + -4 Combine like terms: 0 + -4 = -4 -3w = -4 Divide each side by '-3'. w = 1.333333333 Simplifying w = 1.333333333Solution
w = {-0.4, 1.333333333}
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