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Simplifying 5x2 + 5y2 = 65 Solving 5x2 + 5y2 = 65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y2' to each side of the equation. 5x2 + 5y2 + -5y2 = 65 + -5y2 Combine like terms: 5y2 + -5y2 = 0 5x2 + 0 = 65 + -5y2 5x2 = 65 + -5y2 Divide each side by '5'. x2 = 13 + -1y2 Simplifying x2 = 13 + -1y2 Reorder the terms: -13 + x2 + y2 = 13 + -1y2 + -13 + y2 Reorder the terms: -13 + x2 + y2 = 13 + -13 + -1y2 + y2 Combine like terms: 13 + -13 = 0 -13 + x2 + y2 = 0 + -1y2 + y2 -13 + x2 + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -13 + x2 + y2 = 0 The solution to this equation could not be determined.
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