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Simplifying X2 + 4y2 + -10x + 16y + 25 = 0 Reorder the terms: 25 + X2 + -10x + 16y + 4y2 = 0 Solving 25 + X2 + -10x + 16y + 4y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + X2 + -10x + 16y + -25 + 4y2 = 0 + -25 Reorder the terms: 25 + -25 + X2 + -10x + 16y + 4y2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + X2 + -10x + 16y + 4y2 = 0 + -25 X2 + -10x + 16y + 4y2 = 0 + -25 Combine like terms: 0 + -25 = -25 X2 + -10x + 16y + 4y2 = -25 Add '10x' to each side of the equation. X2 + -10x + 16y + 10x + 4y2 = -25 + 10x Reorder the terms: X2 + -10x + 10x + 16y + 4y2 = -25 + 10x Combine like terms: -10x + 10x = 0 X2 + 0 + 16y + 4y2 = -25 + 10x X2 + 16y + 4y2 = -25 + 10x Add '-16y' to each side of the equation. X2 + 16y + -16y + 4y2 = -25 + 10x + -16y Combine like terms: 16y + -16y = 0 X2 + 0 + 4y2 = -25 + 10x + -16y X2 + 4y2 = -25 + 10x + -16y Add '-4y2' to each side of the equation. X2 + 4y2 + -4y2 = -25 + 10x + -16y + -4y2 Combine like terms: 4y2 + -4y2 = 0 X2 + 0 = -25 + 10x + -16y + -4y2 X2 = -25 + 10x + -16y + -4y2 Simplifying X2 = -25 + 10x + -16y + -4y2 Reorder the terms: 25 + X2 + -10x + 16y + 4y2 = -25 + 10x + -16y + -4y2 + 25 + -10x + 16y + 4y2 Reorder the terms: 25 + X2 + -10x + 16y + 4y2 = -25 + 25 + 10x + -10x + -16y + 16y + -4y2 + 4y2 Combine like terms: -25 + 25 = 0 25 + X2 + -10x + 16y + 4y2 = 0 + 10x + -10x + -16y + 16y + -4y2 + 4y2 25 + X2 + -10x + 16y + 4y2 = 10x + -10x + -16y + 16y + -4y2 + 4y2 Combine like terms: 10x + -10x = 0 25 + X2 + -10x + 16y + 4y2 = 0 + -16y + 16y + -4y2 + 4y2 25 + X2 + -10x + 16y + 4y2 = -16y + 16y + -4y2 + 4y2 Combine like terms: -16y + 16y = 0 25 + X2 + -10x + 16y + 4y2 = 0 + -4y2 + 4y2 25 + X2 + -10x + 16y + 4y2 = -4y2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 25 + X2 + -10x + 16y + 4y2 = 0 The solution to this equation could not be determined.
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