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Simplifying (3p + -2q + r)(3p + -2q + r) = 0 Multiply (3p + -2q + r) * (3p + -2q + r) (3p * (3p + -2q + r) + -2q * (3p + -2q + r) + r(3p + -2q + r)) = 0 ((3p * 3p + -2q * 3p + r * 3p) + -2q * (3p + -2q + r) + r(3p + -2q + r)) = 0 Reorder the terms: ((-6pq + 3pr + 9p2) + -2q * (3p + -2q + r) + r(3p + -2q + r)) = 0 ((-6pq + 3pr + 9p2) + -2q * (3p + -2q + r) + r(3p + -2q + r)) = 0 (-6pq + 3pr + 9p2 + (3p * -2q + -2q * -2q + r * -2q) + r(3p + -2q + r)) = 0 Reorder the terms: (-6pq + 3pr + 9p2 + (-6pq + -2qr + 4q2) + r(3p + -2q + r)) = 0 (-6pq + 3pr + 9p2 + (-6pq + -2qr + 4q2) + r(3p + -2q + r)) = 0 (-6pq + 3pr + 9p2 + -6pq + -2qr + 4q2 + (3p * r + -2q * r + r * r)) = 0 (-6pq + 3pr + 9p2 + -6pq + -2qr + 4q2 + (3pr + -2qr + r2)) = 0 Reorder the terms: (-6pq + -6pq + 3pr + 3pr + 9p2 + -2qr + -2qr + 4q2 + r2) = 0 Combine like terms: -6pq + -6pq = -12pq (-12pq + 3pr + 3pr + 9p2 + -2qr + -2qr + 4q2 + r2) = 0 Combine like terms: 3pr + 3pr = 6pr (-12pq + 6pr + 9p2 + -2qr + -2qr + 4q2 + r2) = 0 Combine like terms: -2qr + -2qr = -4qr (-12pq + 6pr + 9p2 + -4qr + 4q2 + r2) = 0 Solving -12pq + 6pr + 9p2 + -4qr + 4q2 + r2 = 0 Solving for variable 'p'. The solution to this equation could not be determined.
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