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Simplifying (1 + -1w)(4w + 9) = 0 Reorder the terms: (1 + -1w)(9 + 4w) = 0 Multiply (1 + -1w) * (9 + 4w) (1(9 + 4w) + -1w * (9 + 4w)) = 0 ((9 * 1 + 4w * 1) + -1w * (9 + 4w)) = 0 ((9 + 4w) + -1w * (9 + 4w)) = 0 (9 + 4w + (9 * -1w + 4w * -1w)) = 0 (9 + 4w + (-9w + -4w2)) = 0 Combine like terms: 4w + -9w = -5w (9 + -5w + -4w2) = 0 Solving 9 + -5w + -4w2 = 0 Solving for variable 'w'. Factor a trinomial. (1 + -1w)(9 + 4w) = 0Subproblem 1
Set the factor '(1 + -1w)' equal to zero and attempt to solve: Simplifying 1 + -1w = 0 Solving 1 + -1w = 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 + -1w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 0 + -1 -1w = 0 + -1 Combine like terms: 0 + -1 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1Subproblem 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 = {1, -2.25}
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