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Simplifying 2x2 + 32 + 2y2 + 50 = 32 Reorder the terms: 32 + 50 + 2x2 + 2y2 = 32 Combine like terms: 32 + 50 = 82 82 + 2x2 + 2y2 = 32 Solving 82 + 2x2 + 2y2 = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + 2x2 + -82 + 2y2 = 32 + -82 Reorder the terms: 82 + -82 + 2x2 + 2y2 = 32 + -82 Combine like terms: 82 + -82 = 0 0 + 2x2 + 2y2 = 32 + -82 2x2 + 2y2 = 32 + -82 Combine like terms: 32 + -82 = -50 2x2 + 2y2 = -50 Add '-2y2' to each side of the equation. 2x2 + 2y2 + -2y2 = -50 + -2y2 Combine like terms: 2y2 + -2y2 = 0 2x2 + 0 = -50 + -2y2 2x2 = -50 + -2y2 Divide each side by '2'. x2 = -25 + -1y2 Simplifying x2 = -25 + -1y2 Reorder the terms: 25 + x2 + y2 = -25 + -1y2 + 25 + y2 Reorder the terms: 25 + x2 + y2 = -25 + 25 + -1y2 + y2 Combine like terms: -25 + 25 = 0 25 + x2 + y2 = 0 + -1y2 + y2 25 + x2 + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 25 + x2 + y2 = 0 The solution to this equation could not be determined.
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