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Simplifying (9 + -1w)(4w + 3) = 0 Reorder the terms: (9 + -1w)(3 + 4w) = 0 Multiply (9 + -1w) * (3 + 4w) (9(3 + 4w) + -1w * (3 + 4w)) = 0 ((3 * 9 + 4w * 9) + -1w * (3 + 4w)) = 0 ((27 + 36w) + -1w * (3 + 4w)) = 0 (27 + 36w + (3 * -1w + 4w * -1w)) = 0 (27 + 36w + (-3w + -4w2)) = 0 Combine like terms: 36w + -3w = 33w (27 + 33w + -4w2) = 0 Solving 27 + 33w + -4w2 = 0 Solving for variable 'w'. Factor a trinomial. (9 + -1w)(3 + 4w) = 0Subproblem 1
Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 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 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9Subproblem 2
Set the factor '(3 + 4w)' equal to zero and attempt to solve: Simplifying 3 + 4w = 0 Solving 3 + 4w = 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 + 4w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = 0 + -3 4w = 0 + -3 Combine like terms: 0 + -3 = -3 4w = -3 Divide each side by '4'. w = -0.75 Simplifying w = -0.75Solution
w = {9, -0.75}
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