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Simplifying (5w + 2)(4 + -1w) = 0 Reorder the terms: (2 + 5w)(4 + -1w) = 0 Multiply (2 + 5w) * (4 + -1w) (2(4 + -1w) + 5w * (4 + -1w)) = 0 ((4 * 2 + -1w * 2) + 5w * (4 + -1w)) = 0 ((8 + -2w) + 5w * (4 + -1w)) = 0 (8 + -2w + (4 * 5w + -1w * 5w)) = 0 (8 + -2w + (20w + -5w2)) = 0 Combine like terms: -2w + 20w = 18w (8 + 18w + -5w2) = 0 Solving 8 + 18w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + -1w)(2 + 5w) = 0Subproblem 1
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 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 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Subproblem 2
Set the factor '(2 + 5w)' equal to zero and attempt to solve: Simplifying 2 + 5w = 0 Solving 2 + 5w = 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 + 5w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5w = 0 + -2 5w = 0 + -2 Combine like terms: 0 + -2 = -2 5w = -2 Divide each side by '5'. w = -0.4 Simplifying w = -0.4Solution
w = {4, -0.4}
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