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Simplifying sqrt(x + 3) + sqrt(3x + 7) = 2 Reorder the terms: qrst(3 + x) + sqrt(3x + 7) = 2 (3 * qrst + x * qrst) + sqrt(3x + 7) = 2 (3qrst + qrstx) + sqrt(3x + 7) = 2 Reorder the terms: 3qrst + qrstx + qrst(7 + 3x) = 2 3qrst + qrstx + (7 * qrst + 3x * qrst) = 2 3qrst + qrstx + (7qrst + 3qrstx) = 2 Reorder the terms: 3qrst + 7qrst + qrstx + 3qrstx = 2 Combine like terms: 3qrst + 7qrst = 10qrst 10qrst + qrstx + 3qrstx = 2 Combine like terms: qrstx + 3qrstx = 4qrstx 10qrst + 4qrstx = 2 Solving 10qrst + 4qrstx = 2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -2 + 10qrst + 4qrstx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 10qrst + 4qrstx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 5qrst + 2qrstx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 5qrst + 2qrstx)' equal to zero and attempt to solve: Simplifying -1 + 5qrst + 2qrstx = 0 Solving -1 + 5qrst + 2qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 5qrst + 1 + 2qrstx = 0 + 1 Reorder the terms: -1 + 1 + 5qrst + 2qrstx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5qrst + 2qrstx = 0 + 1 5qrst + 2qrstx = 0 + 1 Combine like terms: 0 + 1 = 1 5qrst + 2qrstx = 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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