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Simplifying (15x + -2y + 5c)(2x + -3y + -1c) = 0 Reorder the terms: (5c + 15x + -2y)(2x + -3y + -1c) = 0 Reorder the terms: (5c + 15x + -2y)(-1c + 2x + -3y) = 0 Multiply (5c + 15x + -2y) * (-1c + 2x + -3y) (5c * (-1c + 2x + -3y) + 15x * (-1c + 2x + -3y) + -2y * (-1c + 2x + -3y)) = 0 ((-1c * 5c + 2x * 5c + -3y * 5c) + 15x * (-1c + 2x + -3y) + -2y * (-1c + 2x + -3y)) = 0 Reorder the terms: ((10cx + -15cy + -5c2) + 15x * (-1c + 2x + -3y) + -2y * (-1c + 2x + -3y)) = 0 ((10cx + -15cy + -5c2) + 15x * (-1c + 2x + -3y) + -2y * (-1c + 2x + -3y)) = 0 (10cx + -15cy + -5c2 + (-1c * 15x + 2x * 15x + -3y * 15x) + -2y * (-1c + 2x + -3y)) = 0 Reorder the terms: (10cx + -15cy + -5c2 + (-15cx + -45xy + 30x2) + -2y * (-1c + 2x + -3y)) = 0 (10cx + -15cy + -5c2 + (-15cx + -45xy + 30x2) + -2y * (-1c + 2x + -3y)) = 0 (10cx + -15cy + -5c2 + -15cx + -45xy + 30x2 + (-1c * -2y + 2x * -2y + -3y * -2y)) = 0 (10cx + -15cy + -5c2 + -15cx + -45xy + 30x2 + (2cy + -4xy + 6y2)) = 0 Reorder the terms: (10cx + -15cx + -15cy + 2cy + -5c2 + -45xy + -4xy + 30x2 + 6y2) = 0 Combine like terms: 10cx + -15cx = -5cx (-5cx + -15cy + 2cy + -5c2 + -45xy + -4xy + 30x2 + 6y2) = 0 Combine like terms: -15cy + 2cy = -13cy (-5cx + -13cy + -5c2 + -45xy + -4xy + 30x2 + 6y2) = 0 Combine like terms: -45xy + -4xy = -49xy (-5cx + -13cy + -5c2 + -49xy + 30x2 + 6y2) = 0 Solving -5cx + -13cy + -5c2 + -49xy + 30x2 + 6y2 = 0 Solving for variable 'c'. The solution to this equation could not be determined.
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