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Simplifying (5w + 9)(6 + -1w) = 0 Reorder the terms: (9 + 5w)(6 + -1w) = 0 Multiply (9 + 5w) * (6 + -1w) (9(6 + -1w) + 5w * (6 + -1w)) = 0 ((6 * 9 + -1w * 9) + 5w * (6 + -1w)) = 0 ((54 + -9w) + 5w * (6 + -1w)) = 0 (54 + -9w + (6 * 5w + -1w * 5w)) = 0 (54 + -9w + (30w + -5w2)) = 0 Combine like terms: -9w + 30w = 21w (54 + 21w + -5w2) = 0 Solving 54 + 21w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (6 + -1w)(9 + 5w) = 0Subproblem 1
Set the factor '(6 + -1w)' equal to zero and attempt to solve: Simplifying 6 + -1w = 0 Solving 6 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 0 + -6 -1w = 0 + -6 Combine like terms: 0 + -6 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6Subproblem 2
Set the factor '(9 + 5w)' equal to zero and attempt to solve: Simplifying 9 + 5w = 0 Solving 9 + 5w = 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 + 5w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5w = 0 + -9 5w = 0 + -9 Combine like terms: 0 + -9 = -9 5w = -9 Divide each side by '5'. w = -1.8 Simplifying w = -1.8Solution
w = {6, -1.8}
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