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