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Simplifying (4w + -9)(3 + -1w) = 0 Reorder the terms: (-9 + 4w)(3 + -1w) = 0 Multiply (-9 + 4w) * (3 + -1w) (-9(3 + -1w) + 4w * (3 + -1w)) = 0 ((3 * -9 + -1w * -9) + 4w * (3 + -1w)) = 0 ((-27 + 9w) + 4w * (3 + -1w)) = 0 (-27 + 9w + (3 * 4w + -1w * 4w)) = 0 (-27 + 9w + (12w + -4w2)) = 0 Combine like terms: 9w + 12w = 21w (-27 + 21w + -4w2) = 0 Solving -27 + 21w + -4w2 = 0 Solving for variable 'w'. Factor a trinomial. (-3 + w)(9 + -4w) = 0Subproblem 1
Set the factor '(-3 + w)' equal to zero and attempt to solve: Simplifying -3 + w = 0 Solving -3 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + w = 0 + 3 w = 0 + 3 Combine like terms: 0 + 3 = 3 w = 3 Simplifying w = 3Subproblem 2
Set the factor '(9 + -4w)' equal to zero and attempt to solve: Simplifying 9 + -4w = 0 Solving 9 + -4w = 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 + -4w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4w = 0 + -9 -4w = 0 + -9 Combine like terms: 0 + -9 = -9 -4w = -9 Divide each side by '-4'. w = 2.25 Simplifying w = 2.25Solution
w = {3, 2.25}
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