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Simplifying (2a + -3b + -4c)(2a + -3b) = 0 Multiply (2a + -3b + -4c) * (2a + -3b) (2a * (2a + -3b) + -3b * (2a + -3b) + -4c * (2a + -3b)) = 0 ((2a * 2a + -3b * 2a) + -3b * (2a + -3b) + -4c * (2a + -3b)) = 0 Reorder the terms: ((-6ab + 4a2) + -3b * (2a + -3b) + -4c * (2a + -3b)) = 0 ((-6ab + 4a2) + -3b * (2a + -3b) + -4c * (2a + -3b)) = 0 (-6ab + 4a2 + (2a * -3b + -3b * -3b) + -4c * (2a + -3b)) = 0 (-6ab + 4a2 + (-6ab + 9b2) + -4c * (2a + -3b)) = 0 (-6ab + 4a2 + -6ab + 9b2 + (2a * -4c + -3b * -4c)) = 0 (-6ab + 4a2 + -6ab + 9b2 + (-8ac + 12bc)) = 0 Reorder the terms: (-6ab + -6ab + -8ac + 4a2 + 12bc + 9b2) = 0 Combine like terms: -6ab + -6ab = -12ab (-12ab + -8ac + 4a2 + 12bc + 9b2) = 0 Solving -12ab + -8ac + 4a2 + 12bc + 9b2 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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