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Simplifying (w + 5)(3w + 4) = 0 Reorder the terms: (5 + w)(3w + 4) = 0 Reorder the terms: (5 + w)(4 + 3w) = 0 Multiply (5 + w) * (4 + 3w) (5(4 + 3w) + w(4 + 3w)) = 0 ((4 * 5 + 3w * 5) + w(4 + 3w)) = 0 ((20 + 15w) + w(4 + 3w)) = 0 (20 + 15w + (4 * w + 3w * w)) = 0 (20 + 15w + (4w + 3w2)) = 0 Combine like terms: 15w + 4w = 19w (20 + 19w + 3w2) = 0 Solving 20 + 19w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (5 + w)(4 + 3w) = 0Subproblem 1
Set the factor '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5Subproblem 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 = {-5, -1.333333333}
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