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Simplifying 3x2 + 6y2 + -243 = 0 Reorder the terms: -243 + 3x2 + 6y2 = 0 Solving -243 + 3x2 + 6y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '243' to each side of the equation. -243 + 3x2 + 243 + 6y2 = 0 + 243 Reorder the terms: -243 + 243 + 3x2 + 6y2 = 0 + 243 Combine like terms: -243 + 243 = 0 0 + 3x2 + 6y2 = 0 + 243 3x2 + 6y2 = 0 + 243 Combine like terms: 0 + 243 = 243 3x2 + 6y2 = 243 Add '-6y2' to each side of the equation. 3x2 + 6y2 + -6y2 = 243 + -6y2 Combine like terms: 6y2 + -6y2 = 0 3x2 + 0 = 243 + -6y2 3x2 = 243 + -6y2 Divide each side by '3'. x2 = 81 + -2y2 Simplifying x2 = 81 + -2y2 Reorder the terms: -81 + x2 + 2y2 = 81 + -2y2 + -81 + 2y2 Reorder the terms: -81 + x2 + 2y2 = 81 + -81 + -2y2 + 2y2 Combine like terms: 81 + -81 = 0 -81 + x2 + 2y2 = 0 + -2y2 + 2y2 -81 + x2 + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 -81 + x2 + 2y2 = 0 The solution to this equation could not be determined.
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