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Simplifying (5x + 9)(8 + w) = 0 Reorder the terms: (9 + 5x)(8 + w) = 0 Multiply (9 + 5x) * (8 + w) (9(8 + w) + 5x * (8 + w)) = 0 ((8 * 9 + w * 9) + 5x * (8 + w)) = 0 ((72 + 9w) + 5x * (8 + w)) = 0 (72 + 9w + (8 * 5x + w * 5x)) = 0 Reorder the terms: (72 + 9w + (5wx + 40x)) = 0 (72 + 9w + (5wx + 40x)) = 0 (72 + 9w + 5wx + 40x) = 0 Solving 72 + 9w + 5wx + 40x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + 9w + 5wx + -72 + 40x = 0 + -72 Reorder the terms: 72 + -72 + 9w + 5wx + 40x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 9w + 5wx + 40x = 0 + -72 9w + 5wx + 40x = 0 + -72 Combine like terms: 0 + -72 = -72 9w + 5wx + 40x = -72 Add '-40x' to each side of the equation. 9w + 5wx + 40x + -40x = -72 + -40x Combine like terms: 40x + -40x = 0 9w + 5wx + 0 = -72 + -40x 9w + 5wx = -72 + -40x Reorder the terms: 72 + 9w + 5wx + 40x = -72 + -40x + 72 + 40x Reorder the terms: 72 + 9w + 5wx + 40x = -72 + 72 + -40x + 40x Combine like terms: -72 + 72 = 0 72 + 9w + 5wx + 40x = 0 + -40x + 40x 72 + 9w + 5wx + 40x = -40x + 40x Combine like terms: -40x + 40x = 0 72 + 9w + 5wx + 40x = 0 The solution to this equation could not be determined.
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