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Simplifying X2 + -1y2 + 6x + 2y + 1 = 0 Reorder the terms: 1 + X2 + 6x + 2y + -1y2 = 0 Solving 1 + X2 + 6x + 2y + -1y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + X2 + 6x + 2y + -1 + -1y2 = 0 + -1 Reorder the terms: 1 + -1 + X2 + 6x + 2y + -1y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X2 + 6x + 2y + -1y2 = 0 + -1 X2 + 6x + 2y + -1y2 = 0 + -1 Combine like terms: 0 + -1 = -1 X2 + 6x + 2y + -1y2 = -1 Add '-6x' to each side of the equation. X2 + 6x + 2y + -6x + -1y2 = -1 + -6x Reorder the terms: X2 + 6x + -6x + 2y + -1y2 = -1 + -6x Combine like terms: 6x + -6x = 0 X2 + 0 + 2y + -1y2 = -1 + -6x X2 + 2y + -1y2 = -1 + -6x Add '-2y' to each side of the equation. X2 + 2y + -2y + -1y2 = -1 + -6x + -2y Combine like terms: 2y + -2y = 0 X2 + 0 + -1y2 = -1 + -6x + -2y X2 + -1y2 = -1 + -6x + -2y Add 'y2' to each side of the equation. X2 + -1y2 + y2 = -1 + -6x + -2y + y2 Combine like terms: -1y2 + y2 = 0 X2 + 0 = -1 + -6x + -2y + y2 X2 = -1 + -6x + -2y + y2 Simplifying X2 = -1 + -6x + -2y + y2 Reorder the terms: 1 + X2 + 6x + 2y + -1y2 = -1 + -6x + -2y + y2 + 1 + 6x + 2y + -1y2 Reorder the terms: 1 + X2 + 6x + 2y + -1y2 = -1 + 1 + -6x + 6x + -2y + 2y + y2 + -1y2 Combine like terms: -1 + 1 = 0 1 + X2 + 6x + 2y + -1y2 = 0 + -6x + 6x + -2y + 2y + y2 + -1y2 1 + X2 + 6x + 2y + -1y2 = -6x + 6x + -2y + 2y + y2 + -1y2 Combine like terms: -6x + 6x = 0 1 + X2 + 6x + 2y + -1y2 = 0 + -2y + 2y + y2 + -1y2 1 + X2 + 6x + 2y + -1y2 = -2y + 2y + y2 + -1y2 Combine like terms: -2y + 2y = 0 1 + X2 + 6x + 2y + -1y2 = 0 + y2 + -1y2 1 + X2 + 6x + 2y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 1 + X2 + 6x + 2y + -1y2 = 0 The solution to this equation could not be determined.
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