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Simplifying (7 + -1w)(5w + 9) = 0 Reorder the terms: (7 + -1w)(9 + 5w) = 0 Multiply (7 + -1w) * (9 + 5w) (7(9 + 5w) + -1w * (9 + 5w)) = 0 ((9 * 7 + 5w * 7) + -1w * (9 + 5w)) = 0 ((63 + 35w) + -1w * (9 + 5w)) = 0 (63 + 35w + (9 * -1w + 5w * -1w)) = 0 (63 + 35w + (-9w + -5w2)) = 0 Combine like terms: 35w + -9w = 26w (63 + 26w + -5w2) = 0 Solving 63 + 26w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (7 + -1w)(9 + 5w) = 0Subproblem 1
Set the factor '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7Subproblem 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 = {7, -1.8}
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