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