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Simplifying X2 + -6x + y2 + -10y = 16 Reorder the terms: X2 + -6x + -10y + y2 = 16 Solving X2 + -6x + -10y + y2 = 16 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6x' to each side of the equation. X2 + -6x + -10y + 6x + y2 = 16 + 6x Reorder the terms: X2 + -6x + 6x + -10y + y2 = 16 + 6x Combine like terms: -6x + 6x = 0 X2 + 0 + -10y + y2 = 16 + 6x X2 + -10y + y2 = 16 + 6x Add '10y' to each side of the equation. X2 + -10y + 10y + y2 = 16 + 6x + 10y Combine like terms: -10y + 10y = 0 X2 + 0 + y2 = 16 + 6x + 10y X2 + y2 = 16 + 6x + 10y Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = 16 + 6x + 10y + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = 16 + 6x + 10y + -1y2 X2 = 16 + 6x + 10y + -1y2 Simplifying X2 = 16 + 6x + 10y + -1y2 Reorder the terms: -16 + X2 + -6x + -10y + y2 = 16 + 6x + 10y + -1y2 + -16 + -6x + -10y + y2 Reorder the terms: -16 + X2 + -6x + -10y + y2 = 16 + -16 + 6x + -6x + 10y + -10y + -1y2 + y2 Combine like terms: 16 + -16 = 0 -16 + X2 + -6x + -10y + y2 = 0 + 6x + -6x + 10y + -10y + -1y2 + y2 -16 + X2 + -6x + -10y + y2 = 6x + -6x + 10y + -10y + -1y2 + y2 Combine like terms: 6x + -6x = 0 -16 + X2 + -6x + -10y + y2 = 0 + 10y + -10y + -1y2 + y2 -16 + X2 + -6x + -10y + y2 = 10y + -10y + -1y2 + y2 Combine like terms: 10y + -10y = 0 -16 + X2 + -6x + -10y + y2 = 0 + -1y2 + y2 -16 + X2 + -6x + -10y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -16 + X2 + -6x + -10y + y2 = 0 The solution to this equation could not be determined.
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