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Simplifying sqrt(x + 4) + sqrt(x + -1) = sqrt(2x + 15) Reorder the terms: qrst(4 + x) + sqrt(x + -1) = sqrt(2x + 15) (4 * qrst + x * qrst) + sqrt(x + -1) = sqrt(2x + 15) (4qrst + qrstx) + sqrt(x + -1) = sqrt(2x + 15) Reorder the terms: 4qrst + qrstx + qrst(-1 + x) = sqrt(2x + 15) 4qrst + qrstx + (-1 * qrst + x * qrst) = sqrt(2x + 15) 4qrst + qrstx + (-1qrst + qrstx) = sqrt(2x + 15) Reorder the terms: 4qrst + -1qrst + qrstx + qrstx = sqrt(2x + 15) Combine like terms: 4qrst + -1qrst = 3qrst 3qrst + qrstx + qrstx = sqrt(2x + 15) Combine like terms: qrstx + qrstx = 2qrstx 3qrst + 2qrstx = sqrt(2x + 15) Reorder the terms: 3qrst + 2qrstx = qrst(15 + 2x) 3qrst + 2qrstx = (15 * qrst + 2x * qrst) 3qrst + 2qrstx = (15qrst + 2qrstx) Add '-2qrstx' to each side of the equation. 3qrst + 2qrstx + -2qrstx = 15qrst + 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 3qrst + 0 = 15qrst + 2qrstx + -2qrstx 3qrst = 15qrst + 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 3qrst = 15qrst + 0 3qrst = 15qrst Solving 3qrst = 15qrst Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15qrst' to each side of the equation. 3qrst + -15qrst = 15qrst + -15qrst Combine like terms: 3qrst + -15qrst = -12qrst -12qrst = 15qrst + -15qrst Combine like terms: 15qrst + -15qrst = 0 -12qrst = 0 Divide each side by '-12'. qrst = 0 Simplifying qrst = 0 The solution to this equation could not be determined.
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