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Simplifying (7 + -1w)(2w + 9) = 0 Reorder the terms: (7 + -1w)(9 + 2w) = 0 Multiply (7 + -1w) * (9 + 2w) (7(9 + 2w) + -1w * (9 + 2w)) = 0 ((9 * 7 + 2w * 7) + -1w * (9 + 2w)) = 0 ((63 + 14w) + -1w * (9 + 2w)) = 0 (63 + 14w + (9 * -1w + 2w * -1w)) = 0 (63 + 14w + (-9w + -2w2)) = 0 Combine like terms: 14w + -9w = 5w (63 + 5w + -2w2) = 0 Solving 63 + 5w + -2w2 = 0 Solving for variable 'w'. Factor a trinomial. (7 + -1w)(9 + 2w) = 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 + 2w)' equal to zero and attempt to solve: Simplifying 9 + 2w = 0 Solving 9 + 2w = 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 + 2w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2w = 0 + -9 2w = 0 + -9 Combine like terms: 0 + -9 = -9 2w = -9 Divide each side by '2'. w = -4.5 Simplifying w = -4.5Solution
w = {7, -4.5}
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