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Simplifying (2a + 3b + -1c)(3a + -2b + c) = 0 Multiply (2a + 3b + -1c) * (3a + -2b + c) (2a * (3a + -2b + c) + 3b * (3a + -2b + c) + -1c * (3a + -2b + c)) = 0 ((3a * 2a + -2b * 2a + c * 2a) + 3b * (3a + -2b + c) + -1c * (3a + -2b + c)) = 0 Reorder the terms: ((-4ab + 2ac + 6a2) + 3b * (3a + -2b + c) + -1c * (3a + -2b + c)) = 0 ((-4ab + 2ac + 6a2) + 3b * (3a + -2b + c) + -1c * (3a + -2b + c)) = 0 (-4ab + 2ac + 6a2 + (3a * 3b + -2b * 3b + c * 3b) + -1c * (3a + -2b + c)) = 0 Reorder the terms: (-4ab + 2ac + 6a2 + (9ab + 3bc + -6b2) + -1c * (3a + -2b + c)) = 0 (-4ab + 2ac + 6a2 + (9ab + 3bc + -6b2) + -1c * (3a + -2b + c)) = 0 (-4ab + 2ac + 6a2 + 9ab + 3bc + -6b2 + (3a * -1c + -2b * -1c + c * -1c)) = 0 (-4ab + 2ac + 6a2 + 9ab + 3bc + -6b2 + (-3ac + 2bc + -1c2)) = 0 Reorder the terms: (-4ab + 9ab + 2ac + -3ac + 6a2 + 3bc + 2bc + -6b2 + -1c2) = 0 Combine like terms: -4ab + 9ab = 5ab (5ab + 2ac + -3ac + 6a2 + 3bc + 2bc + -6b2 + -1c2) = 0 Combine like terms: 2ac + -3ac = -1ac (5ab + -1ac + 6a2 + 3bc + 2bc + -6b2 + -1c2) = 0 Combine like terms: 3bc + 2bc = 5bc (5ab + -1ac + 6a2 + 5bc + -6b2 + -1c2) = 0 Solving 5ab + -1ac + 6a2 + 5bc + -6b2 + -1c2 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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