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Simplifying (7w + -9)(w + 9) = 0 Reorder the terms: (-9 + 7w)(w + 9) = 0 Reorder the terms: (-9 + 7w)(9 + w) = 0 Multiply (-9 + 7w) * (9 + w) (-9(9 + w) + 7w * (9 + w)) = 0 ((9 * -9 + w * -9) + 7w * (9 + w)) = 0 ((-81 + -9w) + 7w * (9 + w)) = 0 (-81 + -9w + (9 * 7w + w * 7w)) = 0 (-81 + -9w + (63w + 7w2)) = 0 Combine like terms: -9w + 63w = 54w (-81 + 54w + 7w2) = 0 Solving -81 + 54w + 7w2 = 0 Solving for variable 'w'. Factor a trinomial. (-9 + -1w)(9 + -7w) = 0Subproblem 1
Set the factor '(-9 + -1w)' equal to zero and attempt to solve: Simplifying -9 + -1w = 0 Solving -9 + -1w = 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 + -1w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1w = 0 + 9 -1w = 0 + 9 Combine like terms: 0 + 9 = 9 -1w = 9 Divide each side by '-1'. w = -9 Simplifying w = -9Subproblem 2
Set the factor '(9 + -7w)' equal to zero and attempt to solve: Simplifying 9 + -7w = 0 Solving 9 + -7w = 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 + -7w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7w = 0 + -9 -7w = 0 + -9 Combine like terms: 0 + -9 = -9 -7w = -9 Divide each side by '-7'. w = 1.285714286 Simplifying w = 1.285714286Solution
w = {-9, 1.285714286}
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