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Simplifying (2a + -3b + 6c)(2a + -3b + 6c) = 0 Multiply (2a + -3b + 6c) * (2a + -3b + 6c) (2a * (2a + -3b + 6c) + -3b * (2a + -3b + 6c) + 6c * (2a + -3b + 6c)) = 0 ((2a * 2a + -3b * 2a + 6c * 2a) + -3b * (2a + -3b + 6c) + 6c * (2a + -3b + 6c)) = 0 Reorder the terms: ((-6ab + 12ac + 4a2) + -3b * (2a + -3b + 6c) + 6c * (2a + -3b + 6c)) = 0 ((-6ab + 12ac + 4a2) + -3b * (2a + -3b + 6c) + 6c * (2a + -3b + 6c)) = 0 (-6ab + 12ac + 4a2 + (2a * -3b + -3b * -3b + 6c * -3b) + 6c * (2a + -3b + 6c)) = 0 Reorder the terms: (-6ab + 12ac + 4a2 + (-6ab + -18bc + 9b2) + 6c * (2a + -3b + 6c)) = 0 (-6ab + 12ac + 4a2 + (-6ab + -18bc + 9b2) + 6c * (2a + -3b + 6c)) = 0 (-6ab + 12ac + 4a2 + -6ab + -18bc + 9b2 + (2a * 6c + -3b * 6c + 6c * 6c)) = 0 (-6ab + 12ac + 4a2 + -6ab + -18bc + 9b2 + (12ac + -18bc + 36c2)) = 0 Reorder the terms: (-6ab + -6ab + 12ac + 12ac + 4a2 + -18bc + -18bc + 9b2 + 36c2) = 0 Combine like terms: -6ab + -6ab = -12ab (-12ab + 12ac + 12ac + 4a2 + -18bc + -18bc + 9b2 + 36c2) = 0 Combine like terms: 12ac + 12ac = 24ac (-12ab + 24ac + 4a2 + -18bc + -18bc + 9b2 + 36c2) = 0 Combine like terms: -18bc + -18bc = -36bc (-12ab + 24ac + 4a2 + -36bc + 9b2 + 36c2) = 0 Solving -12ab + 24ac + 4a2 + -36bc + 9b2 + 36c2 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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