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Simplifying X2 + 6y2 + 17x + 2y + -38 = 0 Reorder the terms: -38 + X2 + 17x + 2y + 6y2 = 0 Solving -38 + X2 + 17x + 2y + 6y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '38' to each side of the equation. -38 + X2 + 17x + 2y + 38 + 6y2 = 0 + 38 Reorder the terms: -38 + 38 + X2 + 17x + 2y + 6y2 = 0 + 38 Combine like terms: -38 + 38 = 0 0 + X2 + 17x + 2y + 6y2 = 0 + 38 X2 + 17x + 2y + 6y2 = 0 + 38 Combine like terms: 0 + 38 = 38 X2 + 17x + 2y + 6y2 = 38 Add '-17x' to each side of the equation. X2 + 17x + 2y + -17x + 6y2 = 38 + -17x Reorder the terms: X2 + 17x + -17x + 2y + 6y2 = 38 + -17x Combine like terms: 17x + -17x = 0 X2 + 0 + 2y + 6y2 = 38 + -17x X2 + 2y + 6y2 = 38 + -17x Add '-2y' to each side of the equation. X2 + 2y + -2y + 6y2 = 38 + -17x + -2y Combine like terms: 2y + -2y = 0 X2 + 0 + 6y2 = 38 + -17x + -2y X2 + 6y2 = 38 + -17x + -2y Add '-6y2' to each side of the equation. X2 + 6y2 + -6y2 = 38 + -17x + -2y + -6y2 Combine like terms: 6y2 + -6y2 = 0 X2 + 0 = 38 + -17x + -2y + -6y2 X2 = 38 + -17x + -2y + -6y2 Simplifying X2 = 38 + -17x + -2y + -6y2 Reorder the terms: -38 + X2 + 17x + 2y + 6y2 = 38 + -17x + -2y + -6y2 + -38 + 17x + 2y + 6y2 Reorder the terms: -38 + X2 + 17x + 2y + 6y2 = 38 + -38 + -17x + 17x + -2y + 2y + -6y2 + 6y2 Combine like terms: 38 + -38 = 0 -38 + X2 + 17x + 2y + 6y2 = 0 + -17x + 17x + -2y + 2y + -6y2 + 6y2 -38 + X2 + 17x + 2y + 6y2 = -17x + 17x + -2y + 2y + -6y2 + 6y2 Combine like terms: -17x + 17x = 0 -38 + X2 + 17x + 2y + 6y2 = 0 + -2y + 2y + -6y2 + 6y2 -38 + X2 + 17x + 2y + 6y2 = -2y + 2y + -6y2 + 6y2 Combine like terms: -2y + 2y = 0 -38 + X2 + 17x + 2y + 6y2 = 0 + -6y2 + 6y2 -38 + X2 + 17x + 2y + 6y2 = -6y2 + 6y2 Combine like terms: -6y2 + 6y2 = 0 -38 + X2 + 17x + 2y + 6y2 = 0 The solution to this equation could not be determined.
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