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Simplifying 15w2 + w + -28 = 0 Reorder the terms: -28 + w + 15w2 = 0 Solving -28 + w + 15w2 = 0 Solving for variable 'w'. Factor a trinomial. (-7 + -5w)(4 + -3w) = 0Subproblem 1
Set the factor '(-7 + -5w)' equal to zero and attempt to solve: Simplifying -7 + -5w = 0 Solving -7 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5w = 0 + 7 -5w = 0 + 7 Combine like terms: 0 + 7 = 7 -5w = 7 Divide each side by '-5'. w = -1.4 Simplifying w = -1.4Subproblem 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 = {-1.4, 1.333333333}
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