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Simplifying (4 + -1w)(2w + 5) = 0 Reorder the terms: (4 + -1w)(5 + 2w) = 0 Multiply (4 + -1w) * (5 + 2w) (4(5 + 2w) + -1w * (5 + 2w)) = 0 ((5 * 4 + 2w * 4) + -1w * (5 + 2w)) = 0 ((20 + 8w) + -1w * (5 + 2w)) = 0 (20 + 8w + (5 * -1w + 2w * -1w)) = 0 (20 + 8w + (-5w + -2w2)) = 0 Combine like terms: 8w + -5w = 3w (20 + 3w + -2w2) = 0 Solving 20 + 3w + -2w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + -1w)(5 + 2w) = 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 '(5 + 2w)' equal to zero and attempt to solve: Simplifying 5 + 2w = 0 Solving 5 + 2w = 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 + 2w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = 0 + -5 2w = 0 + -5 Combine like terms: 0 + -5 = -5 2w = -5 Divide each side by '2'. w = -2.5 Simplifying w = -2.5Solution
w = {4, -2.5}
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