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Simplifying 12x2 + 4y2 + -3 = 0 Reorder the terms: -3 + 12x2 + 4y2 = 0 Solving -3 + 12x2 + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12x2 + 3 + 4y2 = 0 + 3 Reorder the terms: -3 + 3 + 12x2 + 4y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12x2 + 4y2 = 0 + 3 12x2 + 4y2 = 0 + 3 Combine like terms: 0 + 3 = 3 12x2 + 4y2 = 3 Add '-4y2' to each side of the equation. 12x2 + 4y2 + -4y2 = 3 + -4y2 Combine like terms: 4y2 + -4y2 = 0 12x2 + 0 = 3 + -4y2 12x2 = 3 + -4y2 Divide each side by '12'. x2 = 0.25 + -0.3333333333y2 Simplifying x2 = 0.25 + -0.3333333333y2 Reorder the terms: -0.25 + x2 + 0.3333333333y2 = 0.25 + -0.3333333333y2 + -0.25 + 0.3333333333y2 Reorder the terms: -0.25 + x2 + 0.3333333333y2 = 0.25 + -0.25 + -0.3333333333y2 + 0.3333333333y2 Combine like terms: 0.25 + -0.25 = 0.00 -0.25 + x2 + 0.3333333333y2 = 0.00 + -0.3333333333y2 + 0.3333333333y2 -0.25 + x2 + 0.3333333333y2 = -0.3333333333y2 + 0.3333333333y2 Combine like terms: -0.3333333333y2 + 0.3333333333y2 = 0.0000000000 -0.25 + x2 + 0.3333333333y2 = 0.0000000000 The solution to this equation could not be determined.
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