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Simplifying (u + 2v + -5)(3u + 7V) = 0 Reorder the terms: (-5 + u + 2v)(3u + 7V) = 0 Reorder the terms: (-5 + u + 2v)(7V + 3u) = 0 Multiply (-5 + u + 2v) * (7V + 3u) (-5(7V + 3u) + u(7V + 3u) + 2v * (7V + 3u)) = 0 ((7V * -5 + 3u * -5) + u(7V + 3u) + 2v * (7V + 3u)) = 0 ((-35V + -15u) + u(7V + 3u) + 2v * (7V + 3u)) = 0 (-35V + -15u + (7V * u + 3u * u) + 2v * (7V + 3u)) = 0 (-35V + -15u + (7uV + 3u2) + 2v * (7V + 3u)) = 0 (-35V + -15u + 7uV + 3u2 + (7V * 2v + 3u * 2v)) = 0 Reorder the terms: (-35V + -15u + 7uV + 3u2 + (6uv + 14vV)) = 0 (-35V + -15u + 7uV + 3u2 + (6uv + 14vV)) = 0 Reorder the terms: (-35V + -15u + 7uV + 6uv + 3u2 + 14vV) = 0 (-35V + -15u + 7uV + 6uv + 3u2 + 14vV) = 0 Solving -35V + -15u + 7uV + 6uv + 3u2 + 14vV = 0 Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '15u' to each side of the equation. -35V + -15u + 7uV + 6uv + 3u2 + 15u + 14vV = 0 + 15u Reorder the terms: -35V + -15u + 15u + 7uV + 6uv + 3u2 + 14vV = 0 + 15u Combine like terms: -15u + 15u = 0 -35V + 0 + 7uV + 6uv + 3u2 + 14vV = 0 + 15u -35V + 7uV + 6uv + 3u2 + 14vV = 0 + 15u Remove the zero: -35V + 7uV + 6uv + 3u2 + 14vV = 15u Add '-6uv' to each side of the equation. -35V + 7uV + 6uv + 3u2 + -6uv + 14vV = 15u + -6uv Reorder the terms: -35V + 7uV + 6uv + -6uv + 3u2 + 14vV = 15u + -6uv Combine like terms: 6uv + -6uv = 0 -35V + 7uV + 0 + 3u2 + 14vV = 15u + -6uv -35V + 7uV + 3u2 + 14vV = 15u + -6uv Add '-3u2' to each side of the equation. -35V + 7uV + 3u2 + -3u2 + 14vV = 15u + -6uv + -3u2 Combine like terms: 3u2 + -3u2 = 0 -35V + 7uV + 0 + 14vV = 15u + -6uv + -3u2 -35V + 7uV + 14vV = 15u + -6uv + -3u2 Reorder the terms: -35V + -15u + 7uV + 6uv + 3u2 + 14vV = 15u + -6uv + -3u2 + -15u + 6uv + 3u2 Reorder the terms: -35V + -15u + 7uV + 6uv + 3u2 + 14vV = 15u + -15u + -6uv + 6uv + -3u2 + 3u2 Combine like terms: 15u + -15u = 0 -35V + -15u + 7uV + 6uv + 3u2 + 14vV = 0 + -6uv + 6uv + -3u2 + 3u2 -35V + -15u + 7uV + 6uv + 3u2 + 14vV = -6uv + 6uv + -3u2 + 3u2 Combine like terms: -6uv + 6uv = 0 -35V + -15u + 7uV + 6uv + 3u2 + 14vV = 0 + -3u2 + 3u2 -35V + -15u + 7uV + 6uv + 3u2 + 14vV = -3u2 + 3u2 Combine like terms: -3u2 + 3u2 = 0 -35V + -15u + 7uV + 6uv + 3u2 + 14vV = 0 The solution to this equation could not be determined.
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