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Simplifying (4w + 9)(4 + -1w) = 0 Reorder the terms: (9 + 4w)(4 + -1w) = 0 Multiply (9 + 4w) * (4 + -1w) (9(4 + -1w) + 4w * (4 + -1w)) = 0 ((4 * 9 + -1w * 9) + 4w * (4 + -1w)) = 0 ((36 + -9w) + 4w * (4 + -1w)) = 0 (36 + -9w + (4 * 4w + -1w * 4w)) = 0 (36 + -9w + (16w + -4w2)) = 0 Combine like terms: -9w + 16w = 7w (36 + 7w + -4w2) = 0 Solving 36 + 7w + -4w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + -1w)(9 + 4w) = 0Subproblem 1
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Subproblem 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 = {4, -2.25}
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