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Simplifying 3w2 + 49w + 60 = 0 Reorder the terms: 60 + 49w + 3w2 = 0 Solving 60 + 49w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (15 + w)(4 + 3w) = 0Subproblem 1
Set the factor '(15 + w)' equal to zero and attempt to solve: Simplifying 15 + w = 0 Solving 15 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + w = 0 + -15 w = 0 + -15 Combine like terms: 0 + -15 = -15 w = -15 Simplifying w = -15Subproblem 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 = {-15, -1.333333333}
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