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Simplifying 3x2 + 4y2 + 6 = 0 Reorder the terms: 6 + 3x2 + 4y2 = 0 Solving 6 + 3x2 + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3x2 + -6 + 4y2 = 0 + -6 Reorder the terms: 6 + -6 + 3x2 + 4y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3x2 + 4y2 = 0 + -6 3x2 + 4y2 = 0 + -6 Combine like terms: 0 + -6 = -6 3x2 + 4y2 = -6 Add '-4y2' to each side of the equation. 3x2 + 4y2 + -4y2 = -6 + -4y2 Combine like terms: 4y2 + -4y2 = 0 3x2 + 0 = -6 + -4y2 3x2 = -6 + -4y2 Divide each side by '3'. x2 = -2 + -1.333333333y2 Simplifying x2 = -2 + -1.333333333y2 Reorder the terms: 2 + x2 + 1.333333333y2 = -2 + -1.333333333y2 + 2 + 1.333333333y2 Reorder the terms: 2 + x2 + 1.333333333y2 = -2 + 2 + -1.333333333y2 + 1.333333333y2 Combine like terms: -2 + 2 = 0 2 + x2 + 1.333333333y2 = 0 + -1.333333333y2 + 1.333333333y2 2 + x2 + 1.333333333y2 = -1.333333333y2 + 1.333333333y2 Combine like terms: -1.333333333y2 + 1.333333333y2 = 0.000000000 2 + x2 + 1.333333333y2 = 0.000000000 The solution to this equation could not be determined.
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