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