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Simplifying (4w + -5)(2 + -1w) = 0 Reorder the terms: (-5 + 4w)(2 + -1w) = 0 Multiply (-5 + 4w) * (2 + -1w) (-5(2 + -1w) + 4w * (2 + -1w)) = 0 ((2 * -5 + -1w * -5) + 4w * (2 + -1w)) = 0 ((-10 + 5w) + 4w * (2 + -1w)) = 0 (-10 + 5w + (2 * 4w + -1w * 4w)) = 0 (-10 + 5w + (8w + -4w2)) = 0 Combine like terms: 5w + 8w = 13w (-10 + 13w + -4w2) = 0 Solving -10 + 13w + -4w2 = 0 Solving for variable 'w'. Factor a trinomial. (-2 + w)(5 + -4w) = 0Subproblem 1
Set the factor '(-2 + w)' equal to zero and attempt to solve: Simplifying -2 + w = 0 Solving -2 + w = 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 + w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + w = 0 + 2 w = 0 + 2 Combine like terms: 0 + 2 = 2 w = 2 Simplifying w = 2Subproblem 2
Set the factor '(5 + -4w)' equal to zero and attempt to solve: Simplifying 5 + -4w = 0 Solving 5 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4w = 0 + -5 -4w = 0 + -5 Combine like terms: 0 + -5 = -5 -4w = -5 Divide each side by '-4'. w = 1.25 Simplifying w = 1.25Solution
w = {2, 1.25}
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