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Simplifying sqrt(3x + -1) + sqrt(6x + 2) = sqrt(9x + 1) Reorder the terms: qrst(-1 + 3x) + sqrt(6x + 2) = sqrt(9x + 1) (-1 * qrst + 3x * qrst) + sqrt(6x + 2) = sqrt(9x + 1) (-1qrst + 3qrstx) + sqrt(6x + 2) = sqrt(9x + 1) Reorder the terms: -1qrst + 3qrstx + qrst(2 + 6x) = sqrt(9x + 1) -1qrst + 3qrstx + (2 * qrst + 6x * qrst) = sqrt(9x + 1) -1qrst + 3qrstx + (2qrst + 6qrstx) = sqrt(9x + 1) Reorder the terms: -1qrst + 2qrst + 3qrstx + 6qrstx = sqrt(9x + 1) Combine like terms: -1qrst + 2qrst = 1qrst 1qrst + 3qrstx + 6qrstx = sqrt(9x + 1) Combine like terms: 3qrstx + 6qrstx = 9qrstx 1qrst + 9qrstx = sqrt(9x + 1) Reorder the terms: 1qrst + 9qrstx = qrst(1 + 9x) 1qrst + 9qrstx = (1 * qrst + 9x * qrst) 1qrst + 9qrstx = (1qrst + 9qrstx) Add '-1qrst' to each side of the equation. 1qrst + -1qrst + 9qrstx = 1qrst + -1qrst + 9qrstx Combine like terms: 1qrst + -1qrst = 0 0 + 9qrstx = 1qrst + -1qrst + 9qrstx 9qrstx = 1qrst + -1qrst + 9qrstx Combine like terms: 1qrst + -1qrst = 0 9qrstx = 0 + 9qrstx 9qrstx = 9qrstx Add '-9qrstx' to each side of the equation. 9qrstx + -9qrstx = 9qrstx + -9qrstx Combine like terms: 9qrstx + -9qrstx = 0 0 = 9qrstx + -9qrstx Combine like terms: 9qrstx + -9qrstx = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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