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Simplifying sqrt(7x + -10) = 1 + sqrt(5x + -9) Reorder the terms: qrst(-10 + 7x) = 1 + sqrt(5x + -9) (-10 * qrst + 7x * qrst) = 1 + sqrt(5x + -9) (-10qrst + 7qrstx) = 1 + sqrt(5x + -9) Reorder the terms: -10qrst + 7qrstx = 1 + qrst(-9 + 5x) -10qrst + 7qrstx = 1 + (-9 * qrst + 5x * qrst) -10qrst + 7qrstx = 1 + (-9qrst + 5qrstx) Solving -10qrst + 7qrstx = 1 + -9qrst + 5qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '9qrst' to each side of the equation. -10qrst + 9qrst + 7qrstx = 1 + -9qrst + 9qrst + 5qrstx Combine like terms: -10qrst + 9qrst = -1qrst -1qrst + 7qrstx = 1 + -9qrst + 9qrst + 5qrstx Combine like terms: -9qrst + 9qrst = 0 -1qrst + 7qrstx = 1 + 0 + 5qrstx -1qrst + 7qrstx = 1 + 5qrstx Add '-5qrstx' to each side of the equation. -1qrst + 7qrstx + -5qrstx = 1 + 5qrstx + -5qrstx Combine like terms: 7qrstx + -5qrstx = 2qrstx -1qrst + 2qrstx = 1 + 5qrstx + -5qrstx Combine like terms: 5qrstx + -5qrstx = 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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