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Simplifying X2 + 6x + y2 + 8y + 24 = 0 Reorder the terms: 24 + X2 + 6x + 8y + y2 = 0 Solving 24 + X2 + 6x + 8y + y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + X2 + 6x + 8y + -24 + y2 = 0 + -24 Reorder the terms: 24 + -24 + X2 + 6x + 8y + y2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + X2 + 6x + 8y + y2 = 0 + -24 X2 + 6x + 8y + y2 = 0 + -24 Combine like terms: 0 + -24 = -24 X2 + 6x + 8y + y2 = -24 Add '-6x' to each side of the equation. X2 + 6x + 8y + -6x + y2 = -24 + -6x Reorder the terms: X2 + 6x + -6x + 8y + y2 = -24 + -6x Combine like terms: 6x + -6x = 0 X2 + 0 + 8y + y2 = -24 + -6x X2 + 8y + y2 = -24 + -6x Add '-8y' to each side of the equation. X2 + 8y + -8y + y2 = -24 + -6x + -8y Combine like terms: 8y + -8y = 0 X2 + 0 + y2 = -24 + -6x + -8y X2 + y2 = -24 + -6x + -8y Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = -24 + -6x + -8y + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = -24 + -6x + -8y + -1y2 X2 = -24 + -6x + -8y + -1y2 Simplifying X2 = -24 + -6x + -8y + -1y2 Reorder the terms: 24 + X2 + 6x + 8y + y2 = -24 + -6x + -8y + -1y2 + 24 + 6x + 8y + y2 Reorder the terms: 24 + X2 + 6x + 8y + y2 = -24 + 24 + -6x + 6x + -8y + 8y + -1y2 + y2 Combine like terms: -24 + 24 = 0 24 + X2 + 6x + 8y + y2 = 0 + -6x + 6x + -8y + 8y + -1y2 + y2 24 + X2 + 6x + 8y + y2 = -6x + 6x + -8y + 8y + -1y2 + y2 Combine like terms: -6x + 6x = 0 24 + X2 + 6x + 8y + y2 = 0 + -8y + 8y + -1y2 + y2 24 + X2 + 6x + 8y + y2 = -8y + 8y + -1y2 + y2 Combine like terms: -8y + 8y = 0 24 + X2 + 6x + 8y + y2 = 0 + -1y2 + y2 24 + X2 + 6x + 8y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 24 + X2 + 6x + 8y + y2 = 0 The solution to this equation could not be determined.
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