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Simplifying sqrt(3x + 1) + sqrt(5x + 4) = 3x2 + -1x + 3 Reorder the terms: qrst(1 + 3x) + sqrt(5x + 4) = 3x2 + -1x + 3 (1 * qrst + 3x * qrst) + sqrt(5x + 4) = 3x2 + -1x + 3 (1qrst + 3qrstx) + sqrt(5x + 4) = 3x2 + -1x + 3 Reorder the terms: 1qrst + 3qrstx + qrst(4 + 5x) = 3x2 + -1x + 3 1qrst + 3qrstx + (4 * qrst + 5x * qrst) = 3x2 + -1x + 3 1qrst + 3qrstx + (4qrst + 5qrstx) = 3x2 + -1x + 3 Reorder the terms: 1qrst + 4qrst + 3qrstx + 5qrstx = 3x2 + -1x + 3 Combine like terms: 1qrst + 4qrst = 5qrst 5qrst + 3qrstx + 5qrstx = 3x2 + -1x + 3 Combine like terms: 3qrstx + 5qrstx = 8qrstx 5qrst + 8qrstx = 3x2 + -1x + 3 Reorder the terms: 5qrst + 8qrstx = 3 + -1x + 3x2 Solving 5qrst + 8qrstx = 3 + -1x + 3x2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -3 + 5qrst + 8qrstx + x + -3x2 = 3 + -1x + 3x2 + -3 + x + -3x2 Reorder the terms: -3 + 5qrst + 8qrstx + x + -3x2 = 3 + -3 + -1x + x + 3x2 + -3x2 Combine like terms: 3 + -3 = 0 -3 + 5qrst + 8qrstx + x + -3x2 = 0 + -1x + x + 3x2 + -3x2 -3 + 5qrst + 8qrstx + x + -3x2 = -1x + x + 3x2 + -3x2 Combine like terms: -1x + x = 0 -3 + 5qrst + 8qrstx + x + -3x2 = 0 + 3x2 + -3x2 -3 + 5qrst + 8qrstx + x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3 + 5qrst + 8qrstx + x + -3x2 = 0 The solution to this equation could not be determined.
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