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