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Simplifying (3x + 6y + 7)(3x + 6y + -7) = 0 Reorder the terms: (7 + 3x + 6y)(3x + 6y + -7) = 0 Reorder the terms: (7 + 3x + 6y)(-7 + 3x + 6y) = 0 Multiply (7 + 3x + 6y) * (-7 + 3x + 6y) (7(-7 + 3x + 6y) + 3x * (-7 + 3x + 6y) + 6y * (-7 + 3x + 6y)) = 0 ((-7 * 7 + 3x * 7 + 6y * 7) + 3x * (-7 + 3x + 6y) + 6y * (-7 + 3x + 6y)) = 0 ((-49 + 21x + 42y) + 3x * (-7 + 3x + 6y) + 6y * (-7 + 3x + 6y)) = 0 (-49 + 21x + 42y + (-7 * 3x + 3x * 3x + 6y * 3x) + 6y * (-7 + 3x + 6y)) = 0 Reorder the terms: (-49 + 21x + 42y + (-21x + 18xy + 9x2) + 6y * (-7 + 3x + 6y)) = 0 (-49 + 21x + 42y + (-21x + 18xy + 9x2) + 6y * (-7 + 3x + 6y)) = 0 (-49 + 21x + 42y + -21x + 18xy + 9x2 + (-7 * 6y + 3x * 6y + 6y * 6y)) = 0 Reorder the terms: (-49 + 21x + 42y + -21x + 18xy + 9x2 + (18xy + -42y + 36y2)) = 0 (-49 + 21x + 42y + -21x + 18xy + 9x2 + (18xy + -42y + 36y2)) = 0 Reorder the terms: (-49 + 21x + -21x + 18xy + 18xy + 9x2 + 42y + -42y + 36y2) = 0 Combine like terms: 21x + -21x = 0 (-49 + 0 + 18xy + 18xy + 9x2 + 42y + -42y + 36y2) = 0 (-49 + 18xy + 18xy + 9x2 + 42y + -42y + 36y2) = 0 Combine like terms: 18xy + 18xy = 36xy (-49 + 36xy + 9x2 + 42y + -42y + 36y2) = 0 Combine like terms: 42y + -42y = 0 (-49 + 36xy + 9x2 + 0 + 36y2) = 0 (-49 + 36xy + 9x2 + 36y2) = 0 Solving -49 + 36xy + 9x2 + 36y2 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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