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Simplifying (5w + 1)(4 + -1w) = 0 Reorder the terms: (1 + 5w)(4 + -1w) = 0 Multiply (1 + 5w) * (4 + -1w) (1(4 + -1w) + 5w * (4 + -1w)) = 0 ((4 * 1 + -1w * 1) + 5w * (4 + -1w)) = 0 ((4 + -1w) + 5w * (4 + -1w)) = 0 (4 + -1w + (4 * 5w + -1w * 5w)) = 0 (4 + -1w + (20w + -5w2)) = 0 Combine like terms: -1w + 20w = 19w (4 + 19w + -5w2) = 0 Solving 4 + 19w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + -1w)(1 + 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 '(1 + 5w)' equal to zero and attempt to solve: Simplifying 1 + 5w = 0 Solving 1 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5w = 0 + -1 5w = 0 + -1 Combine like terms: 0 + -1 = -1 5w = -1 Divide each side by '5'. w = -0.2 Simplifying w = -0.2Solution
w = {4, -0.2}
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