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Simplifying X2 + -4y2 + 6x + 12y = 0 Reorder the terms: X2 + 6x + 12y + -4y2 = 0 Solving X2 + 6x + 12y + -4y2 = 0 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 + 12y + -6x + -4y2 = 0 + -6x Reorder the terms: X2 + 6x + -6x + 12y + -4y2 = 0 + -6x Combine like terms: 6x + -6x = 0 X2 + 0 + 12y + -4y2 = 0 + -6x X2 + 12y + -4y2 = 0 + -6x Remove the zero: X2 + 12y + -4y2 = -6x Add '-12y' to each side of the equation. X2 + 12y + -12y + -4y2 = -6x + -12y Combine like terms: 12y + -12y = 0 X2 + 0 + -4y2 = -6x + -12y X2 + -4y2 = -6x + -12y Add '4y2' to each side of the equation. X2 + -4y2 + 4y2 = -6x + -12y + 4y2 Combine like terms: -4y2 + 4y2 = 0 X2 + 0 = -6x + -12y + 4y2 X2 = -6x + -12y + 4y2 Simplifying X2 = -6x + -12y + 4y2 Reorder the terms: X2 + 6x + 12y + -4y2 = -6x + 6x + -12y + 12y + 4y2 + -4y2 Combine like terms: -6x + 6x = 0 X2 + 6x + 12y + -4y2 = 0 + -12y + 12y + 4y2 + -4y2 X2 + 6x + 12y + -4y2 = -12y + 12y + 4y2 + -4y2 Combine like terms: -12y + 12y = 0 X2 + 6x + 12y + -4y2 = 0 + 4y2 + -4y2 X2 + 6x + 12y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 X2 + 6x + 12y + -4y2 = 0 The solution to this equation could not be determined.
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