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Simplifying (5w + 8)(2 + -1w) = 0 Reorder the terms: (8 + 5w)(2 + -1w) = 0 Multiply (8 + 5w) * (2 + -1w) (8(2 + -1w) + 5w * (2 + -1w)) = 0 ((2 * 8 + -1w * 8) + 5w * (2 + -1w)) = 0 ((16 + -8w) + 5w * (2 + -1w)) = 0 (16 + -8w + (2 * 5w + -1w * 5w)) = 0 (16 + -8w + (10w + -5w2)) = 0 Combine like terms: -8w + 10w = 2w (16 + 2w + -5w2) = 0 Solving 16 + 2w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (2 + -1w)(8 + 5w) = 0Subproblem 1
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 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 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Subproblem 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 = {2, -1.6}
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