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Simplifying 7 + sqrt(0.5 + -1x) = sqrt(2 + -4x) 7 + (0.5 * qrst + -1x * qrst) = sqrt(2 + -4x) 7 + (0.5qrst + -1qrstx) = sqrt(2 + -4x) 7 + 0.5qrst + -1qrstx = (2 * qrst + -4x * qrst) 7 + 0.5qrst + -1qrstx = (2qrst + -4qrstx) Solving 7 + 0.5qrst + -1qrstx = 2qrst + -4qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2qrst' to each side of the equation. 7 + 0.5qrst + -2qrst + -1qrstx = 2qrst + -2qrst + -4qrstx Combine like terms: 0.5qrst + -2qrst = -1.5qrst 7 + -1.5qrst + -1qrstx = 2qrst + -2qrst + -4qrstx Combine like terms: 2qrst + -2qrst = 0 7 + -1.5qrst + -1qrstx = 0 + -4qrstx 7 + -1.5qrst + -1qrstx = -4qrstx Add '4qrstx' to each side of the equation. 7 + -1.5qrst + -1qrstx + 4qrstx = -4qrstx + 4qrstx Combine like terms: -1qrstx + 4qrstx = 3qrstx 7 + -1.5qrst + 3qrstx = -4qrstx + 4qrstx Combine like terms: -4qrstx + 4qrstx = 0 7 + -1.5qrst + 3qrstx = 0 Add '-7' to each side of the equation. 7 + -1.5qrst + -7 + 3qrstx = 0 + -7 Reorder the terms: 7 + -7 + -1.5qrst + 3qrstx = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1.5qrst + 3qrstx = 0 + -7 -1.5qrst + 3qrstx = 0 + -7 Combine like terms: 0 + -7 = -7 -1.5qrst + 3qrstx = -7 Reorder the terms: 7 + -1.5qrst + 3qrstx = -7 + 7 Combine like terms: -7 + 7 = 0 7 + -1.5qrst + 3qrstx = 0 The solution to this equation could not be determined.
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