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Simplifying 4x2 + y2 + -48 + 140 = 0 Reorder the terms: -48 + 140 + 4x2 + y2 = 0 Combine like terms: -48 + 140 = 92 92 + 4x2 + y2 = 0 Solving 92 + 4x2 + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-92' to each side of the equation. 92 + 4x2 + -92 + y2 = 0 + -92 Reorder the terms: 92 + -92 + 4x2 + y2 = 0 + -92 Combine like terms: 92 + -92 = 0 0 + 4x2 + y2 = 0 + -92 4x2 + y2 = 0 + -92 Combine like terms: 0 + -92 = -92 4x2 + y2 = -92 Add '-1y2' to each side of the equation. 4x2 + y2 + -1y2 = -92 + -1y2 Combine like terms: y2 + -1y2 = 0 4x2 + 0 = -92 + -1y2 4x2 = -92 + -1y2 Divide each side by '4'. x2 = -23 + -0.25y2 Simplifying x2 = -23 + -0.25y2 Reorder the terms: 23 + x2 + 0.25y2 = -23 + -0.25y2 + 23 + 0.25y2 Reorder the terms: 23 + x2 + 0.25y2 = -23 + 23 + -0.25y2 + 0.25y2 Combine like terms: -23 + 23 = 0 23 + x2 + 0.25y2 = 0 + -0.25y2 + 0.25y2 23 + x2 + 0.25y2 = -0.25y2 + 0.25y2 Combine like terms: -0.25y2 + 0.25y2 = 0.00 23 + x2 + 0.25y2 = 0.00 The solution to this equation could not be determined.
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