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Simplifying (5w + -9)(5 + -1w) = 0 Reorder the terms: (-9 + 5w)(5 + -1w) = 0 Multiply (-9 + 5w) * (5 + -1w) (-9(5 + -1w) + 5w * (5 + -1w)) = 0 ((5 * -9 + -1w * -9) + 5w * (5 + -1w)) = 0 ((-45 + 9w) + 5w * (5 + -1w)) = 0 (-45 + 9w + (5 * 5w + -1w * 5w)) = 0 (-45 + 9w + (25w + -5w2)) = 0 Combine like terms: 9w + 25w = 34w (-45 + 34w + -5w2) = 0 Solving -45 + 34w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (-5 + w)(9 + -5w) = 0Subproblem 1
Set the factor '(-5 + w)' equal to zero and attempt to solve: Simplifying -5 + w = 0 Solving -5 + w = 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 + w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + w = 0 + 5 w = 0 + 5 Combine like terms: 0 + 5 = 5 w = 5 Simplifying w = 5Subproblem 2
Set the factor '(9 + -5w)' equal to zero and attempt to solve: Simplifying 9 + -5w = 0 Solving 9 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5w = 0 + -9 -5w = 0 + -9 Combine like terms: 0 + -9 = -9 -5w = -9 Divide each side by '-5'. w = 1.8 Simplifying w = 1.8Solution
w = {5, 1.8}
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