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