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Simplifying sqrt(4x + -3) + sqrt(5x + 1) = sqrt(9x + -3) Reorder the terms: qrst(-3 + 4x) + sqrt(5x + 1) = sqrt(9x + -3) (-3 * qrst + 4x * qrst) + sqrt(5x + 1) = sqrt(9x + -3) (-3qrst + 4qrstx) + sqrt(5x + 1) = sqrt(9x + -3) Reorder the terms: -3qrst + 4qrstx + qrst(1 + 5x) = sqrt(9x + -3) -3qrst + 4qrstx + (1 * qrst + 5x * qrst) = sqrt(9x + -3) -3qrst + 4qrstx + (1qrst + 5qrstx) = sqrt(9x + -3) Reorder the terms: -3qrst + 1qrst + 4qrstx + 5qrstx = sqrt(9x + -3) Combine like terms: -3qrst + 1qrst = -2qrst -2qrst + 4qrstx + 5qrstx = sqrt(9x + -3) Combine like terms: 4qrstx + 5qrstx = 9qrstx -2qrst + 9qrstx = sqrt(9x + -3) Reorder the terms: -2qrst + 9qrstx = qrst(-3 + 9x) -2qrst + 9qrstx = (-3 * qrst + 9x * qrst) -2qrst + 9qrstx = (-3qrst + 9qrstx) Add '-9qrstx' to each side of the equation. -2qrst + 9qrstx + -9qrstx = -3qrst + 9qrstx + -9qrstx Combine like terms: 9qrstx + -9qrstx = 0 -2qrst + 0 = -3qrst + 9qrstx + -9qrstx -2qrst = -3qrst + 9qrstx + -9qrstx Combine like terms: 9qrstx + -9qrstx = 0 -2qrst = -3qrst + 0 -2qrst = -3qrst Solving -2qrst = -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. -2qrst + 3qrst = -3qrst + 3qrst Combine like terms: -2qrst + 3qrst = 1qrst 1qrst = -3qrst + 3qrst Combine like terms: -3qrst + 3qrst = 0 1qrst = 0 Divide each side by '1'. qrst = 0 Simplifying qrst = 0 The solution to this equation could not be determined.
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