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Simplifying 3(x2 + 9) + 3y2 = 12 Reorder the terms: 3(9 + x2) + 3y2 = 12 (9 * 3 + x2 * 3) + 3y2 = 12 (27 + 3x2) + 3y2 = 12 Solving 27 + 3x2 + 3y2 = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + 3x2 + -27 + 3y2 = 12 + -27 Reorder the terms: 27 + -27 + 3x2 + 3y2 = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 3x2 + 3y2 = 12 + -27 3x2 + 3y2 = 12 + -27 Combine like terms: 12 + -27 = -15 3x2 + 3y2 = -15 Add '-3y2' to each side of the equation. 3x2 + 3y2 + -3y2 = -15 + -3y2 Combine like terms: 3y2 + -3y2 = 0 3x2 + 0 = -15 + -3y2 3x2 = -15 + -3y2 Divide each side by '3'. x2 = -5 + -1y2 Simplifying x2 = -5 + -1y2 Reorder the terms: 5 + x2 + y2 = -5 + -1y2 + 5 + y2 Reorder the terms: 5 + x2 + y2 = -5 + 5 + -1y2 + y2 Combine like terms: -5 + 5 = 0 5 + x2 + y2 = 0 + -1y2 + y2 5 + x2 + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 5 + x2 + y2 = 0 The solution to this equation could not be determined.
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