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Simplifying 42x2 + 6y2 = 7 Solving 42x2 + 6y2 = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y2' to each side of the equation. 42x2 + 6y2 + -6y2 = 7 + -6y2 Combine like terms: 6y2 + -6y2 = 0 42x2 + 0 = 7 + -6y2 42x2 = 7 + -6y2 Divide each side by '42'. x2 = 0.1666666667 + -0.1428571429y2 Simplifying x2 = 0.1666666667 + -0.1428571429y2 Reorder the terms: -0.1666666667 + x2 + 0.1428571429y2 = 0.1666666667 + -0.1428571429y2 + -0.1666666667 + 0.1428571429y2 Reorder the terms: -0.1666666667 + x2 + 0.1428571429y2 = 0.1666666667 + -0.1666666667 + -0.1428571429y2 + 0.1428571429y2 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 -0.1666666667 + x2 + 0.1428571429y2 = 0.0000000000 + -0.1428571429y2 + 0.1428571429y2 -0.1666666667 + x2 + 0.1428571429y2 = -0.1428571429y2 + 0.1428571429y2 Combine like terms: -0.1428571429y2 + 0.1428571429y2 = 0.0000000000 -0.1666666667 + x2 + 0.1428571429y2 = 0.0000000000 The solution to this equation could not be determined.
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