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Simplifying (5w + -2)(w + 4) = 0 Reorder the terms: (-2 + 5w)(w + 4) = 0 Reorder the terms: (-2 + 5w)(4 + w) = 0 Multiply (-2 + 5w) * (4 + w) (-2(4 + w) + 5w * (4 + w)) = 0 ((4 * -2 + w * -2) + 5w * (4 + w)) = 0 ((-8 + -2w) + 5w * (4 + w)) = 0 (-8 + -2w + (4 * 5w + w * 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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