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Simplifying sqrt(5x + 6) + -1sqrt(3x + -2) = 2 Reorder the terms: qrst(6 + 5x) + -1sqrt(3x + -2) = 2 (6 * qrst + 5x * qrst) + -1sqrt(3x + -2) = 2 (6qrst + 5qrstx) + -1sqrt(3x + -2) = 2 Reorder the terms: 6qrst + 5qrstx + -1qrst(-2 + 3x) = 2 6qrst + 5qrstx + (-2 * -1qrst + 3x * -1qrst) = 2 6qrst + 5qrstx + (2qrst + -3qrstx) = 2 Reorder the terms: 6qrst + 2qrst + 5qrstx + -3qrstx = 2 Combine like terms: 6qrst + 2qrst = 8qrst 8qrst + 5qrstx + -3qrstx = 2 Combine like terms: 5qrstx + -3qrstx = 2qrstx 8qrst + 2qrstx = 2 Solving 8qrst + 2qrstx = 2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -2 + 8qrst + 2qrstx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 8qrst + 2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 4qrst + qrstx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 4qrst + qrstx)' equal to zero and attempt to solve: Simplifying -1 + 4qrst + qrstx = 0 Solving -1 + 4qrst + 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 + 4qrst + 1 + qrstx = 0 + 1 Reorder the terms: -1 + 1 + 4qrst + qrstx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4qrst + qrstx = 0 + 1 4qrst + qrstx = 0 + 1 Combine like terms: 0 + 1 = 1 4qrst + 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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