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Simplifying (7w + -5)(2w + 3u + 6) = 0 Reorder the terms: (-5 + 7w)(2w + 3u + 6) = 0 Reorder the terms: (-5 + 7w)(6 + 3u + 2w) = 0 Multiply (-5 + 7w) * (6 + 3u + 2w) (-5(6 + 3u + 2w) + 7w * (6 + 3u + 2w)) = 0 ((6 * -5 + 3u * -5 + 2w * -5) + 7w * (6 + 3u + 2w)) = 0 ((-30 + -15u + -10w) + 7w * (6 + 3u + 2w)) = 0 (-30 + -15u + -10w + (6 * 7w + 3u * 7w + 2w * 7w)) = 0 Reorder the terms: (-30 + -15u + -10w + (21uw + 42w + 14w2)) = 0 (-30 + -15u + -10w + (21uw + 42w + 14w2)) = 0 Reorder the terms: (-30 + -15u + 21uw + -10w + 42w + 14w2) = 0 Combine like terms: -10w + 42w = 32w (-30 + -15u + 21uw + 32w + 14w2) = 0 Solving -30 + -15u + 21uw + 32w + 14w2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -15u + 21uw + 32w + 30 + 14w2 = 0 + 30 Reorder the terms: -30 + 30 + -15u + 21uw + 32w + 14w2 = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -15u + 21uw + 32w + 14w2 = 0 + 30 -15u + 21uw + 32w + 14w2 = 0 + 30 Combine like terms: 0 + 30 = 30 -15u + 21uw + 32w + 14w2 = 30 Add '-32w' to each side of the equation. -15u + 21uw + 32w + -32w + 14w2 = 30 + -32w Combine like terms: 32w + -32w = 0 -15u + 21uw + 0 + 14w2 = 30 + -32w -15u + 21uw + 14w2 = 30 + -32w Add '-14w2' to each side of the equation. -15u + 21uw + 14w2 + -14w2 = 30 + -32w + -14w2 Combine like terms: 14w2 + -14w2 = 0 -15u + 21uw + 0 = 30 + -32w + -14w2 -15u + 21uw = 30 + -32w + -14w2 Reorder the terms: -30 + -15u + 21uw + 32w + 14w2 = 30 + -32w + -14w2 + -30 + 32w + 14w2 Reorder the terms: -30 + -15u + 21uw + 32w + 14w2 = 30 + -30 + -32w + 32w + -14w2 + 14w2 Combine like terms: 30 + -30 = 0 -30 + -15u + 21uw + 32w + 14w2 = 0 + -32w + 32w + -14w2 + 14w2 -30 + -15u + 21uw + 32w + 14w2 = -32w + 32w + -14w2 + 14w2 Combine like terms: -32w + 32w = 0 -30 + -15u + 21uw + 32w + 14w2 = 0 + -14w2 + 14w2 -30 + -15u + 21uw + 32w + 14w2 = -14w2 + 14w2 Combine like terms: -14w2 + 14w2 = 0 -30 + -15u + 21uw + 32w + 14w2 = 0 The solution to this equation could not be determined.
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