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Simplifying 3x + 2y + sqrt(4x + -1y) = 5 + sqrt(3) 3x + 2y + (4x * qrst + -1y * qrst) = 5 + sqrt(3) 3x + 2y + (4qrstx + -1qrsty) = 5 + sqrt(3) Reorder the terms: 4qrstx + -1qrsty + 3x + 2y = 5 + sqrt(3) Reorder the terms for easier multiplication: 4qrstx + -1qrsty + 3x + 2y = 5 + 3qrst Solving 4qrstx + -1qrsty + 3x + 2y = 5 + 3qrst Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3qrst' to each side of the equation. 4qrstx + -1qrsty + 3x + -3qrst + 2y = 5 + 3qrst + -3qrst Reorder the terms: -3qrst + 4qrstx + -1qrsty + 3x + 2y = 5 + 3qrst + -3qrst Combine like terms: 3qrst + -3qrst = 0 -3qrst + 4qrstx + -1qrsty + 3x + 2y = 5 + 0 -3qrst + 4qrstx + -1qrsty + 3x + 2y = 5 Add '-3x' to each side of the equation. -3qrst + 4qrstx + -1qrsty + 3x + -3x + 2y = 5 + -3x Combine like terms: 3x + -3x = 0 -3qrst + 4qrstx + -1qrsty + 0 + 2y = 5 + -3x -3qrst + 4qrstx + -1qrsty + 2y = 5 + -3x Add '-2y' to each side of the equation. -3qrst + 4qrstx + -1qrsty + 2y + -2y = 5 + -3x + -2y Combine like terms: 2y + -2y = 0 -3qrst + 4qrstx + -1qrsty + 0 = 5 + -3x + -2y -3qrst + 4qrstx + -1qrsty = 5 + -3x + -2y Reorder the terms: -5 + -3qrst + 4qrstx + -1qrsty + 3x + 2y = 5 + -3x + -2y + -5 + 3x + 2y Reorder the terms: -5 + -3qrst + 4qrstx + -1qrsty + 3x + 2y = 5 + -5 + -3x + 3x + -2y + 2y Combine like terms: 5 + -5 = 0 -5 + -3qrst + 4qrstx + -1qrsty + 3x + 2y = 0 + -3x + 3x + -2y + 2y -5 + -3qrst + 4qrstx + -1qrsty + 3x + 2y = -3x + 3x + -2y + 2y Combine like terms: -3x + 3x = 0 -5 + -3qrst + 4qrstx + -1qrsty + 3x + 2y = 0 + -2y + 2y -5 + -3qrst + 4qrstx + -1qrsty + 3x + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -5 + -3qrst + 4qrstx + -1qrsty + 3x + 2y = 0 The solution to this equation could not be determined.
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