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Simplifying sqrt(8 + 7x) + sqrt(5x + 6) = 2 (8 * qrst + 7x * qrst) + sqrt(5x + 6) = 2 (8qrst + 7qrstx) + sqrt(5x + 6) = 2 Reorder the terms: 8qrst + 7qrstx + qrst(6 + 5x) = 2 8qrst + 7qrstx + (6 * qrst + 5x * qrst) = 2 8qrst + 7qrstx + (6qrst + 5qrstx) = 2 Reorder the terms: 8qrst + 6qrst + 7qrstx + 5qrstx = 2 Combine like terms: 8qrst + 6qrst = 14qrst 14qrst + 7qrstx + 5qrstx = 2 Combine like terms: 7qrstx + 5qrstx = 12qrstx 14qrst + 12qrstx = 2 Solving 14qrst + 12qrstx = 2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -2 + 14qrst + 12qrstx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 14qrst + 12qrstx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 7qrst + 6qrstx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 7qrst + 6qrstx)' equal to zero and attempt to solve: Simplifying -1 + 7qrst + 6qrstx = 0 Solving -1 + 7qrst + 6qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 7qrst + 1 + 6qrstx = 0 + 1 Reorder the terms: -1 + 1 + 7qrst + 6qrstx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7qrst + 6qrstx = 0 + 1 7qrst + 6qrstx = 0 + 1 Combine like terms: 0 + 1 = 1 7qrst + 6qrstx = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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