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Simplifying sqrt(20x + 1) = 2sqrt(10x + -1) Reorder the terms: qrst(1 + 20x) = 2sqrt(10x + -1) (1 * qrst + 20x * qrst) = 2sqrt(10x + -1) (1qrst + 20qrstx) = 2sqrt(10x + -1) Reorder the terms: 1qrst + 20qrstx = 2qrst(-1 + 10x) 1qrst + 20qrstx = (-1 * 2qrst + 10x * 2qrst) 1qrst + 20qrstx = (-2qrst + 20qrstx) Add '-20qrstx' to each side of the equation. 1qrst + 20qrstx + -20qrstx = -2qrst + 20qrstx + -20qrstx Combine like terms: 20qrstx + -20qrstx = 0 1qrst + 0 = -2qrst + 20qrstx + -20qrstx 1qrst = -2qrst + 20qrstx + -20qrstx Combine like terms: 20qrstx + -20qrstx = 0 1qrst = -2qrst + 0 1qrst = -2qrst Solving 1qrst = -2qrst Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2qrst' to each side of the equation. 1qrst + 2qrst = -2qrst + 2qrst Combine like terms: 1qrst + 2qrst = 3qrst 3qrst = -2qrst + 2qrst Combine like terms: -2qrst + 2qrst = 0 3qrst = 0 Divide each side by '3'. qrst = 0 Simplifying qrst = 0 The solution to this equation could not be determined.
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