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Simplifying (4w + 9)(1 + w) = 0 Reorder the terms: (9 + 4w)(1 + w) = 0 Multiply (9 + 4w) * (1 + w) (9(1 + w) + 4w * (1 + w)) = 0 ((1 * 9 + w * 9) + 4w * (1 + w)) = 0 ((9 + 9w) + 4w * (1 + w)) = 0 (9 + 9w + (1 * 4w + w * 4w)) = 0 (9 + 9w + (4w + 4w2)) = 0 Combine like terms: 9w + 4w = 13w (9 + 13w + 4w2) = 0 Solving 9 + 13w + 4w2 = 0 Solving for variable 'w'. Factor a trinomial. (9 + 4w)(1 + w) = 0Subproblem 1
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 = -2.25Subproblem 2
Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Solution
w = {-2.25, -1}
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