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Simplifying rx2 + y2 + -4x + 6y = 12 Reorder the terms: rx2 + -4x + 6y + y2 = 12 Solving rx2 + -4x + 6y + y2 = 12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4x' to each side of the equation. rx2 + -4x + 6y + 4x + y2 = 12 + 4x Reorder the terms: rx2 + -4x + 4x + 6y + y2 = 12 + 4x Combine like terms: -4x + 4x = 0 rx2 + 0 + 6y + y2 = 12 + 4x rx2 + 6y + y2 = 12 + 4x Add '-6y' to each side of the equation. rx2 + 6y + -6y + y2 = 12 + 4x + -6y Combine like terms: 6y + -6y = 0 rx2 + 0 + y2 = 12 + 4x + -6y rx2 + y2 = 12 + 4x + -6y Add '-1y2' to each side of the equation. rx2 + y2 + -1y2 = 12 + 4x + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 rx2 + 0 = 12 + 4x + -6y + -1y2 rx2 = 12 + 4x + -6y + -1y2 Divide each side by 'x2'. r = 12x-2 + 4x-1 + -6x-2y + -1x-2y2 Simplifying r = 12x-2 + 4x-1 + -6x-2y + -1x-2y2 Reorder the terms: r = 12x-2 + -6x-2y + -1x-2y2 + 4x-1
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