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Simplifying (5w + -4)(2 + w) = 0 Reorder the terms: (-4 + 5w)(2 + w) = 0 Multiply (-4 + 5w) * (2 + w) (-4(2 + w) + 5w * (2 + w)) = 0 ((2 * -4 + w * -4) + 5w * (2 + w)) = 0 ((-8 + -4w) + 5w * (2 + w)) = 0 (-8 + -4w + (2 * 5w + w * 5w)) = 0 (-8 + -4w + (10w + 5w2)) = 0 Combine like terms: -4w + 10w = 6w (-8 + 6w + 5w2) = 0 Solving -8 + 6w + 5w2 = 0 Solving for variable 'w'. Factor a trinomial. (-2 + -1w)(4 + -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 '(4 + -5w)' equal to zero and attempt to solve: Simplifying 4 + -5w = 0 Solving 4 + -5w = 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 + -5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5w = 0 + -4 -5w = 0 + -4 Combine like terms: 0 + -4 = -4 -5w = -4 Divide each side by '-5'. w = 0.8 Simplifying w = 0.8Solution
w = {-2, 0.8}
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