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Simplifying (5w + 4)(5 + w) = 0 Reorder the terms: (4 + 5w)(5 + w) = 0 Multiply (4 + 5w) * (5 + w) (4(5 + w) + 5w * (5 + w)) = 0 ((5 * 4 + w * 4) + 5w * (5 + w)) = 0 ((20 + 4w) + 5w * (5 + w)) = 0 (20 + 4w + (5 * 5w + w * 5w)) = 0 (20 + 4w + (25w + 5w2)) = 0 Combine like terms: 4w + 25w = 29w (20 + 29w + 5w2) = 0 Solving 20 + 29w + 5w2 = 0 Solving for variable 'w'. Factor a trinomial. (5 + w)(4 + 5w) = 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 + 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 = {-5, -0.8}
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