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Simplifying x + sqrt(x2 + -3x + 3) = sqrt(x2 + 2x + 10) + 1 Reorder the terms: x + qrst(3 + -3x + x2) = sqrt(x2 + 2x + 10) + 1 x + (3 * qrst + -3x * qrst + x2 * qrst) = sqrt(x2 + 2x + 10) + 1 x + (3qrst + -3qrstx + qrstx2) = sqrt(x2 + 2x + 10) + 1 Reorder the terms: 3qrst + -3qrstx + qrstx2 + x = sqrt(x2 + 2x + 10) + 1 Reorder the terms: 3qrst + -3qrstx + qrstx2 + x = qrst(10 + 2x + x2) + 1 3qrst + -3qrstx + qrstx2 + x = (10 * qrst + 2x * qrst + x2 * qrst) + 1 3qrst + -3qrstx + qrstx2 + x = (10qrst + 2qrstx + qrstx2) + 1 Reorder the terms: 3qrst + -3qrstx + qrstx2 + x = 1 + 10qrst + 2qrstx + qrstx2 Add '-1qrstx2' to each side of the equation. 3qrst + -3qrstx + qrstx2 + -1qrstx2 + x = 1 + 10qrst + 2qrstx + qrstx2 + -1qrstx2 Combine like terms: qrstx2 + -1qrstx2 = 0 3qrst + -3qrstx + 0 + x = 1 + 10qrst + 2qrstx + qrstx2 + -1qrstx2 3qrst + -3qrstx + x = 1 + 10qrst + 2qrstx + qrstx2 + -1qrstx2 Combine like terms: qrstx2 + -1qrstx2 = 0 3qrst + -3qrstx + x = 1 + 10qrst + 2qrstx + 0 3qrst + -3qrstx + x = 1 + 10qrst + 2qrstx Solving 3qrst + -3qrstx + x = 1 + 10qrst + 2qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10qrst' to each side of the equation. 3qrst + -3qrstx + -10qrst + x = 1 + 10qrst + -10qrst + 2qrstx Reorder the terms: 3qrst + -10qrst + -3qrstx + x = 1 + 10qrst + -10qrst + 2qrstx Combine like terms: 3qrst + -10qrst = -7qrst -7qrst + -3qrstx + x = 1 + 10qrst + -10qrst + 2qrstx Combine like terms: 10qrst + -10qrst = 0 -7qrst + -3qrstx + x = 1 + 0 + 2qrstx -7qrst + -3qrstx + x = 1 + 2qrstx Add '-2qrstx' to each side of the equation. -7qrst + -3qrstx + -2qrstx + x = 1 + 2qrstx + -2qrstx Combine like terms: -3qrstx + -2qrstx = -5qrstx -7qrst + -5qrstx + x = 1 + 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 -7qrst + -5qrstx + x = 1 + 0 -7qrst + -5qrstx + x = 1 Add '-1x' to each side of the equation. -7qrst + -5qrstx + x + -1x = 1 + -1x Combine like terms: x + -1x = 0 -7qrst + -5qrstx + 0 = 1 + -1x -7qrst + -5qrstx = 1 + -1x Reorder the terms: -1 + -7qrst + -5qrstx + x = 1 + -1x + -1 + x Reorder the terms: -1 + -7qrst + -5qrstx + x = 1 + -1 + -1x + x Combine like terms: 1 + -1 = 0 -1 + -7qrst + -5qrstx + x = 0 + -1x + x -1 + -7qrst + -5qrstx + x = -1x + x Combine like terms: -1x + x = 0 -1 + -7qrst + -5qrstx + x = 0 The solution to this equation could not be determined.
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