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Simplifying (4 + w)(5w + 8) = 0 Reorder the terms: (4 + w)(8 + 5w) = 0 Multiply (4 + w) * (8 + 5w) (4(8 + 5w) + w(8 + 5w)) = 0 ((8 * 4 + 5w * 4) + w(8 + 5w)) = 0 ((32 + 20w) + w(8 + 5w)) = 0 (32 + 20w + (8 * w + 5w * w)) = 0 (32 + 20w + (8w + 5w2)) = 0 Combine like terms: 20w + 8w = 28w (32 + 28w + 5w2) = 0 Solving 32 + 28w + 5w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + w)(8 + 5w) = 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 '(8 + 5w)' equal to zero and attempt to solve: Simplifying 8 + 5w = 0 Solving 8 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = 0 + -8 5w = 0 + -8 Combine like terms: 0 + -8 = -8 5w = -8 Divide each side by '5'. w = -1.6 Simplifying w = -1.6Solution
w = {-4, -1.6}
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