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Simplifying (4w + -3)(9 + w) = 0 Reorder the terms: (-3 + 4w)(9 + w) = 0 Multiply (-3 + 4w) * (9 + w) (-3(9 + w) + 4w * (9 + w)) = 0 ((9 * -3 + w * -3) + 4w * (9 + w)) = 0 ((-27 + -3w) + 4w * (9 + w)) = 0 (-27 + -3w + (9 * 4w + w * 4w)) = 0 (-27 + -3w + (36w + 4w2)) = 0 Combine like terms: -3w + 36w = 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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