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Simplifying (3w + 2)(w + 4) = 0 Reorder the terms: (2 + 3w)(w + 4) = 0 Reorder the terms: (2 + 3w)(4 + w) = 0 Multiply (2 + 3w) * (4 + w) (2(4 + w) + 3w * (4 + w)) = 0 ((4 * 2 + w * 2) + 3w * (4 + w)) = 0 ((8 + 2w) + 3w * (4 + w)) = 0 (8 + 2w + (4 * 3w + w * 3w)) = 0 (8 + 2w + (12w + 3w2)) = 0 Combine like terms: 2w + 12w = 14w (8 + 14w + 3w2) = 0 Solving 8 + 14w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + w)(2 + 3w) = 0Subproblem 1
Set the factor '(4 + w)' equal to zero and attempt to solve: Simplifying 4 + w = 0 Solving 4 + w = 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 + w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w = 0 + -4 w = 0 + -4 Combine like terms: 0 + -4 = -4 w = -4 Simplifying w = -4Subproblem 2
Set the factor '(2 + 3w)' equal to zero and attempt to solve: Simplifying 2 + 3w = 0 Solving 2 + 3w = 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 + 3w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3w = 0 + -2 3w = 0 + -2 Combine like terms: 0 + -2 = -2 3w = -2 Divide each side by '3'. w = -0.6666666667 Simplifying w = -0.6666666667Solution
w = {-4, -0.6666666667}
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