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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 = 39w (27 + 39w + 4w2) = 0 Solving 27 + 39w + 4w2 = 0 Solving for variable 'w'. Factor a trinomial. (9 + w)(3 + 4w) = 0Subproblem 1
Set the factor '(9 + w)' equal to zero and attempt to solve: Simplifying 9 + w = 0 Solving 9 + w = 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 + w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w = 0 + -9 w = 0 + -9 Combine like terms: 0 + -9 = -9 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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