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Simplifying 3x2 + 6y2 + -12 = 0 Reorder the terms: -12 + 3x2 + 6y2 = 0 Solving -12 + 3x2 + 6y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 3x2 + 12 + 6y2 = 0 + 12 Reorder the terms: -12 + 12 + 3x2 + 6y2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3x2 + 6y2 = 0 + 12 3x2 + 6y2 = 0 + 12 Combine like terms: 0 + 12 = 12 3x2 + 6y2 = 12 Add '-6y2' to each side of the equation. 3x2 + 6y2 + -6y2 = 12 + -6y2 Combine like terms: 6y2 + -6y2 = 0 3x2 + 0 = 12 + -6y2 3x2 = 12 + -6y2 Divide each side by '3'. x2 = 4 + -2y2 Simplifying x2 = 4 + -2y2 Reorder the terms: -4 + x2 + 2y2 = 4 + -2y2 + -4 + 2y2 Reorder the terms: -4 + x2 + 2y2 = 4 + -4 + -2y2 + 2y2 Combine like terms: 4 + -4 = 0 -4 + x2 + 2y2 = 0 + -2y2 + 2y2 -4 + x2 + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 -4 + x2 + 2y2 = 0 The solution to this equation could not be determined.
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