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Simplifying sqrt(3x + 1) + -1sqrt(cx + d) = 0 Reorder the terms: qrst(1 + 3x) + -1sqrt(cx + d) = 0 (1 * qrst + 3x * qrst) + -1sqrt(cx + d) = 0 (1qrst + 3qrstx) + -1sqrt(cx + d) = 0 1qrst + 3qrstx + (cx * -1qrst + d * -1qrst) = 0 1qrst + 3qrstx + (-1cqrstx + -1dqrst) = 0 Reorder the terms: -1cqrstx + -1dqrst + 1qrst + 3qrstx = 0 Solving -1cqrstx + -1dqrst + 1qrst + 3qrstx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'dqrst' to each side of the equation. -1cqrstx + -1dqrst + 1qrst + dqrst + 3qrstx = 0 + dqrst Reorder the terms: -1cqrstx + -1dqrst + dqrst + 1qrst + 3qrstx = 0 + dqrst Combine like terms: -1dqrst + dqrst = 0 -1cqrstx + 0 + 1qrst + 3qrstx = 0 + dqrst -1cqrstx + 1qrst + 3qrstx = 0 + dqrst Remove the zero: -1cqrstx + 1qrst + 3qrstx = dqrst Add '-1qrst' to each side of the equation. -1cqrstx + 1qrst + -1qrst + 3qrstx = dqrst + -1qrst Combine like terms: 1qrst + -1qrst = 0 -1cqrstx + 0 + 3qrstx = dqrst + -1qrst -1cqrstx + 3qrstx = dqrst + -1qrst Add '-3qrstx' to each side of the equation. -1cqrstx + 3qrstx + -3qrstx = dqrst + -1qrst + -3qrstx Combine like terms: 3qrstx + -3qrstx = 0 -1cqrstx + 0 = dqrst + -1qrst + -3qrstx -1cqrstx = dqrst + -1qrst + -3qrstx Divide each side by '-1qrstx'. c = -1dx-1 + x-1 + 3 Simplifying c = -1dx-1 + x-1 + 3 Reorder the terms: c = 3 + -1dx-1 + x-1
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