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Simplifying X2 + -4y2 + -4x + -24y + -48 = 0 Reorder the terms: -48 + X2 + -4x + -24y + -4y2 = 0 Solving -48 + X2 + -4x + -24y + -4y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '48' to each side of the equation. -48 + X2 + -4x + -24y + 48 + -4y2 = 0 + 48 Reorder the terms: -48 + 48 + X2 + -4x + -24y + -4y2 = 0 + 48 Combine like terms: -48 + 48 = 0 0 + X2 + -4x + -24y + -4y2 = 0 + 48 X2 + -4x + -24y + -4y2 = 0 + 48 Combine like terms: 0 + 48 = 48 X2 + -4x + -24y + -4y2 = 48 Add '4x' to each side of the equation. X2 + -4x + -24y + 4x + -4y2 = 48 + 4x Reorder the terms: X2 + -4x + 4x + -24y + -4y2 = 48 + 4x Combine like terms: -4x + 4x = 0 X2 + 0 + -24y + -4y2 = 48 + 4x X2 + -24y + -4y2 = 48 + 4x Add '24y' to each side of the equation. X2 + -24y + 24y + -4y2 = 48 + 4x + 24y Combine like terms: -24y + 24y = 0 X2 + 0 + -4y2 = 48 + 4x + 24y X2 + -4y2 = 48 + 4x + 24y Add '4y2' to each side of the equation. X2 + -4y2 + 4y2 = 48 + 4x + 24y + 4y2 Combine like terms: -4y2 + 4y2 = 0 X2 + 0 = 48 + 4x + 24y + 4y2 X2 = 48 + 4x + 24y + 4y2 Simplifying X2 = 48 + 4x + 24y + 4y2 Reorder the terms: -48 + X2 + -4x + -24y + -4y2 = 48 + 4x + 24y + 4y2 + -48 + -4x + -24y + -4y2 Reorder the terms: -48 + X2 + -4x + -24y + -4y2 = 48 + -48 + 4x + -4x + 24y + -24y + 4y2 + -4y2 Combine like terms: 48 + -48 = 0 -48 + X2 + -4x + -24y + -4y2 = 0 + 4x + -4x + 24y + -24y + 4y2 + -4y2 -48 + X2 + -4x + -24y + -4y2 = 4x + -4x + 24y + -24y + 4y2 + -4y2 Combine like terms: 4x + -4x = 0 -48 + X2 + -4x + -24y + -4y2 = 0 + 24y + -24y + 4y2 + -4y2 -48 + X2 + -4x + -24y + -4y2 = 24y + -24y + 4y2 + -4y2 Combine like terms: 24y + -24y = 0 -48 + X2 + -4x + -24y + -4y2 = 0 + 4y2 + -4y2 -48 + X2 + -4x + -24y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -48 + X2 + -4x + -24y + -4y2 = 0 The solution to this equation could not be determined.
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