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Simplifying 5x2 + y2 = 30 Solving 5x2 + y2 = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. 5x2 + y2 + -1y2 = 30 + -1y2 Combine like terms: y2 + -1y2 = 0 5x2 + 0 = 30 + -1y2 5x2 = 30 + -1y2 Divide each side by '5'. x2 = 6 + -0.2y2 Simplifying x2 = 6 + -0.2y2 Reorder the terms: -6 + x2 + 0.2y2 = 6 + -0.2y2 + -6 + 0.2y2 Reorder the terms: -6 + x2 + 0.2y2 = 6 + -6 + -0.2y2 + 0.2y2 Combine like terms: 6 + -6 = 0 -6 + x2 + 0.2y2 = 0 + -0.2y2 + 0.2y2 -6 + x2 + 0.2y2 = -0.2y2 + 0.2y2 Combine like terms: -0.2y2 + 0.2y2 = 0.0 -6 + x2 + 0.2y2 = 0.0 The solution to this equation could not be determined.
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