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Simplifying sqrt(x + 1) + sqrt(x + -1) = sqrt(2x + 3) Reorder the terms: qrst(1 + x) + sqrt(x + -1) = sqrt(2x + 3) (1 * qrst + x * qrst) + sqrt(x + -1) = sqrt(2x + 3) (1qrst + qrstx) + sqrt(x + -1) = sqrt(2x + 3) Reorder the terms: 1qrst + qrstx + qrst(-1 + x) = sqrt(2x + 3) 1qrst + qrstx + (-1 * qrst + x * qrst) = sqrt(2x + 3) 1qrst + qrstx + (-1qrst + qrstx) = sqrt(2x + 3) Reorder the terms: 1qrst + -1qrst + qrstx + qrstx = sqrt(2x + 3) Combine like terms: 1qrst + -1qrst = 0 0 + qrstx + qrstx = sqrt(2x + 3) qrstx + qrstx = sqrt(2x + 3) Combine like terms: qrstx + qrstx = 2qrstx 2qrstx = sqrt(2x + 3) Reorder the terms: 2qrstx = qrst(3 + 2x) 2qrstx = (3 * qrst + 2x * qrst) 2qrstx = (3qrst + 2qrstx) Add '-2qrstx' to each side of the equation. 2qrstx + -2qrstx = 3qrst + 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 0 = 3qrst + 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 0 = 3qrst + 0 0 = 3qrst Solving 0 = 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. 0 + -3qrst = 3qrst + -3qrst Remove the zero: -3qrst = 3qrst + -3qrst Combine like terms: 3qrst + -3qrst = 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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