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Simplifying x2 + y2 + 23 + -2y + 42 = 0 Reorder the terms: 23 + 42 + x2 + -2y + y2 = 0 Combine like terms: 23 + 42 = 65 65 + x2 + -2y + y2 = 0 Solving 65 + x2 + -2y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + x2 + -2y + -65 + y2 = 0 + -65 Reorder the terms: 65 + -65 + x2 + -2y + y2 = 0 + -65 Combine like terms: 65 + -65 = 0 0 + x2 + -2y + y2 = 0 + -65 x2 + -2y + y2 = 0 + -65 Combine like terms: 0 + -65 = -65 x2 + -2y + y2 = -65 Add '2y' to each side of the equation. x2 + -2y + 2y + y2 = -65 + 2y Combine like terms: -2y + 2y = 0 x2 + 0 + y2 = -65 + 2y x2 + y2 = -65 + 2y Add '-1y2' to each side of the equation. x2 + y2 + -1y2 = -65 + 2y + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 = -65 + 2y + -1y2 x2 = -65 + 2y + -1y2 Simplifying x2 = -65 + 2y + -1y2 Reorder the terms: 65 + x2 + -2y + y2 = -65 + 2y + -1y2 + 65 + -2y + y2 Reorder the terms: 65 + x2 + -2y + y2 = -65 + 65 + 2y + -2y + -1y2 + y2 Combine like terms: -65 + 65 = 0 65 + x2 + -2y + y2 = 0 + 2y + -2y + -1y2 + y2 65 + x2 + -2y + y2 = 2y + -2y + -1y2 + y2 Combine like terms: 2y + -2y = 0 65 + x2 + -2y + y2 = 0 + -1y2 + y2 65 + x2 + -2y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 65 + x2 + -2y + y2 = 0 The solution to this equation could not be determined.
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