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Simplifying (2x + 4y + -7)(2x + 4y + 7) = 0 Reorder the terms: (-7 + 2x + 4y)(2x + 4y + 7) = 0 Reorder the terms: (-7 + 2x + 4y)(7 + 2x + 4y) = 0 Multiply (-7 + 2x + 4y) * (7 + 2x + 4y) (-7(7 + 2x + 4y) + 2x * (7 + 2x + 4y) + 4y * (7 + 2x + 4y)) = 0 ((7 * -7 + 2x * -7 + 4y * -7) + 2x * (7 + 2x + 4y) + 4y * (7 + 2x + 4y)) = 0 ((-49 + -14x + -28y) + 2x * (7 + 2x + 4y) + 4y * (7 + 2x + 4y)) = 0 (-49 + -14x + -28y + (7 * 2x + 2x * 2x + 4y * 2x) + 4y * (7 + 2x + 4y)) = 0 Reorder the terms: (-49 + -14x + -28y + (14x + 8xy + 4x2) + 4y * (7 + 2x + 4y)) = 0 (-49 + -14x + -28y + (14x + 8xy + 4x2) + 4y * (7 + 2x + 4y)) = 0 (-49 + -14x + -28y + 14x + 8xy + 4x2 + (7 * 4y + 2x * 4y + 4y * 4y)) = 0 Reorder the terms: (-49 + -14x + -28y + 14x + 8xy + 4x2 + (8xy + 28y + 16y2)) = 0 (-49 + -14x + -28y + 14x + 8xy + 4x2 + (8xy + 28y + 16y2)) = 0 Reorder the terms: (-49 + -14x + 14x + 8xy + 8xy + 4x2 + -28y + 28y + 16y2) = 0 Combine like terms: -14x + 14x = 0 (-49 + 0 + 8xy + 8xy + 4x2 + -28y + 28y + 16y2) = 0 (-49 + 8xy + 8xy + 4x2 + -28y + 28y + 16y2) = 0 Combine like terms: 8xy + 8xy = 16xy (-49 + 16xy + 4x2 + -28y + 28y + 16y2) = 0 Combine like terms: -28y + 28y = 0 (-49 + 16xy + 4x2 + 0 + 16y2) = 0 (-49 + 16xy + 4x2 + 16y2) = 0 Solving -49 + 16xy + 4x2 + 16y2 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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