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Simplifying (5w + 4)(2 + w) = 0 Reorder the terms: (4 + 5w)(2 + w) = 0 Multiply (4 + 5w) * (2 + w) (4(2 + w) + 5w * (2 + w)) = 0 ((2 * 4 + w * 4) + 5w * (2 + w)) = 0 ((8 + 4w) + 5w * (2 + w)) = 0 (8 + 4w + (2 * 5w + w * 5w)) = 0 (8 + 4w + (10w + 5w2)) = 0 Combine like terms: 4w + 10w = 14w (8 + 14w + 5w2) = 0 Solving 8 + 14w + 5w2 = 0 Solving for variable 'w'. Factor a trinomial. (2 + w)(4 + 5w) = 0Subproblem 1
Set the factor '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 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 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2Subproblem 2
Set the factor '(4 + 5w)' equal to zero and attempt to solve: Simplifying 4 + 5w = 0 Solving 4 + 5w = 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 + 5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5w = 0 + -4 5w = 0 + -4 Combine like terms: 0 + -4 = -4 5w = -4 Divide each side by '5'. w = -0.8 Simplifying w = -0.8Solution
w = {-2, -0.8}
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