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Simplifying 3x2 + 2y2 + -6 = 0 Reorder the terms: -6 + 3x2 + 2y2 = 0 Solving -6 + 3x2 + 2y2 = 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 + 2y2 = 0 + 6 Reorder the terms: -6 + 6 + 3x2 + 2y2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3x2 + 2y2 = 0 + 6 3x2 + 2y2 = 0 + 6 Combine like terms: 0 + 6 = 6 3x2 + 2y2 = 6 Add '-2y2' to each side of the equation. 3x2 + 2y2 + -2y2 = 6 + -2y2 Combine like terms: 2y2 + -2y2 = 0 3x2 + 0 = 6 + -2y2 3x2 = 6 + -2y2 Divide each side by '3'. x2 = 2 + -0.6666666667y2 Simplifying x2 = 2 + -0.6666666667y2 Reorder the terms: -2 + x2 + 0.6666666667y2 = 2 + -0.6666666667y2 + -2 + 0.6666666667y2 Reorder the terms: -2 + x2 + 0.6666666667y2 = 2 + -2 + -0.6666666667y2 + 0.6666666667y2 Combine like terms: 2 + -2 = 0 -2 + x2 + 0.6666666667y2 = 0 + -0.6666666667y2 + 0.6666666667y2 -2 + x2 + 0.6666666667y2 = -0.6666666667y2 + 0.6666666667y2 Combine like terms: -0.6666666667y2 + 0.6666666667y2 = 0.0000000000 -2 + x2 + 0.6666666667y2 = 0.0000000000 The solution to this equation could not be determined.
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