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Simplifying sqrt(7x + 2) + sqrt(x + 2) = 6 Reorder the terms: qrst(2 + 7x) + sqrt(x + 2) = 6 (2 * qrst + 7x * qrst) + sqrt(x + 2) = 6 (2qrst + 7qrstx) + sqrt(x + 2) = 6 Reorder the terms: 2qrst + 7qrstx + qrst(2 + x) = 6 2qrst + 7qrstx + (2 * qrst + x * qrst) = 6 2qrst + 7qrstx + (2qrst + qrstx) = 6 Reorder the terms: 2qrst + 2qrst + 7qrstx + qrstx = 6 Combine like terms: 2qrst + 2qrst = 4qrst 4qrst + 7qrstx + qrstx = 6 Combine like terms: 7qrstx + qrstx = 8qrstx 4qrst + 8qrstx = 6 Solving 4qrst + 8qrstx = 6 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -6 + 4qrst + 8qrstx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 4qrst + 8qrstx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 2qrst + 4qrstx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + 2qrst + 4qrstx)' equal to zero and attempt to solve: Simplifying -3 + 2qrst + 4qrstx = 0 Solving -3 + 2qrst + 4qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2qrst + 3 + 4qrstx = 0 + 3 Reorder the terms: -3 + 3 + 2qrst + 4qrstx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2qrst + 4qrstx = 0 + 3 2qrst + 4qrstx = 0 + 3 Combine like terms: 0 + 3 = 3 2qrst + 4qrstx = 3 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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