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Simplifying (7w + 4)(2w + -3u + -5) = 0 Reorder the terms: (4 + 7w)(2w + -3u + -5) = 0 Reorder the terms: (4 + 7w)(-5 + -3u + 2w) = 0 Multiply (4 + 7w) * (-5 + -3u + 2w) (4(-5 + -3u + 2w) + 7w * (-5 + -3u + 2w)) = 0 ((-5 * 4 + -3u * 4 + 2w * 4) + 7w * (-5 + -3u + 2w)) = 0 ((-20 + -12u + 8w) + 7w * (-5 + -3u + 2w)) = 0 (-20 + -12u + 8w + (-5 * 7w + -3u * 7w + 2w * 7w)) = 0 Reorder the terms: (-20 + -12u + 8w + (-21uw + -35w + 14w2)) = 0 (-20 + -12u + 8w + (-21uw + -35w + 14w2)) = 0 Reorder the terms: (-20 + -12u + -21uw + 8w + -35w + 14w2) = 0 Combine like terms: 8w + -35w = -27w (-20 + -12u + -21uw + -27w + 14w2) = 0 Solving -20 + -12u + -21uw + -27w + 14w2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -12u + -21uw + -27w + 20 + 14w2 = 0 + 20 Reorder the terms: -20 + 20 + -12u + -21uw + -27w + 14w2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -12u + -21uw + -27w + 14w2 = 0 + 20 -12u + -21uw + -27w + 14w2 = 0 + 20 Combine like terms: 0 + 20 = 20 -12u + -21uw + -27w + 14w2 = 20 Add '27w' to each side of the equation. -12u + -21uw + -27w + 27w + 14w2 = 20 + 27w Combine like terms: -27w + 27w = 0 -12u + -21uw + 0 + 14w2 = 20 + 27w -12u + -21uw + 14w2 = 20 + 27w Add '-14w2' to each side of the equation. -12u + -21uw + 14w2 + -14w2 = 20 + 27w + -14w2 Combine like terms: 14w2 + -14w2 = 0 -12u + -21uw + 0 = 20 + 27w + -14w2 -12u + -21uw = 20 + 27w + -14w2 Reorder the terms: -20 + -12u + -21uw + -27w + 14w2 = 20 + 27w + -14w2 + -20 + -27w + 14w2 Reorder the terms: -20 + -12u + -21uw + -27w + 14w2 = 20 + -20 + 27w + -27w + -14w2 + 14w2 Combine like terms: 20 + -20 = 0 -20 + -12u + -21uw + -27w + 14w2 = 0 + 27w + -27w + -14w2 + 14w2 -20 + -12u + -21uw + -27w + 14w2 = 27w + -27w + -14w2 + 14w2 Combine like terms: 27w + -27w = 0 -20 + -12u + -21uw + -27w + 14w2 = 0 + -14w2 + 14w2 -20 + -12u + -21uw + -27w + 14w2 = -14w2 + 14w2 Combine like terms: -14w2 + 14w2 = 0 -20 + -12u + -21uw + -27w + 14w2 = 0 The solution to this equation could not be determined.
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