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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 = 13w (-20 + 13w + -2w2) = 0 Solving -20 + 13w + -2w2 = 0 Solving for variable 'w'. Factor a trinomial. (-4 + w)(5 + -2w) = 0Subproblem 1
Set the factor '(-4 + w)' equal to zero and attempt to solve: Simplifying -4 + w = 0 Solving -4 + w = 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 + w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + w = 0 + 4 w = 0 + 4 Combine like terms: 0 + 4 = 4 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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