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Simplifying sqrt(2x) = sqrt(3x + 12) + -2 Remove parenthesis around (2x) qrst * 2x = sqrt(3x + 12) + -2 Reorder the terms for easier multiplication: 2qrst * x = sqrt(3x + 12) + -2 Multiply qrst * x 2qrstx = sqrt(3x + 12) + -2 Reorder the terms: 2qrstx = qrst(12 + 3x) + -2 2qrstx = (12 * qrst + 3x * qrst) + -2 2qrstx = (12qrst + 3qrstx) + -2 Reorder the terms: 2qrstx = -2 + 12qrst + 3qrstx Solving 2qrstx = -2 + 12qrst + 3qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12qrst' to each side of the equation. -12qrst + 2qrstx = -2 + 12qrst + -12qrst + 3qrstx Combine like terms: 12qrst + -12qrst = 0 -12qrst + 2qrstx = -2 + 0 + 3qrstx -12qrst + 2qrstx = -2 + 3qrstx Add '-3qrstx' to each side of the equation. -12qrst + 2qrstx + -3qrstx = -2 + 3qrstx + -3qrstx Combine like terms: 2qrstx + -3qrstx = -1qrstx -12qrst + -1qrstx = -2 + 3qrstx + -3qrstx Combine like terms: 3qrstx + -3qrstx = 0 -12qrst + -1qrstx = -2 + 0 -12qrst + -1qrstx = -2 Reorder the terms: 2 + -12qrst + -1qrstx = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -12qrst + -1qrstx = 0 The solution to this equation could not be determined.
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