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Simplifying sqrt(x2 + -5x + 22) + sqrt(x2 + -5x + 6) = 4 Reorder the terms: qrst(22 + -5x + x2) + sqrt(x2 + -5x + 6) = 4 (22 * qrst + -5x * qrst + x2 * qrst) + sqrt(x2 + -5x + 6) = 4 (22qrst + -5qrstx + qrstx2) + sqrt(x2 + -5x + 6) = 4 Reorder the terms: 22qrst + -5qrstx + qrstx2 + qrst(6 + -5x + x2) = 4 22qrst + -5qrstx + qrstx2 + (6 * qrst + -5x * qrst + x2 * qrst) = 4 22qrst + -5qrstx + qrstx2 + (6qrst + -5qrstx + qrstx2) = 4 Reorder the terms: 22qrst + 6qrst + -5qrstx + -5qrstx + qrstx2 + qrstx2 = 4 Combine like terms: 22qrst + 6qrst = 28qrst 28qrst + -5qrstx + -5qrstx + qrstx2 + qrstx2 = 4 Combine like terms: -5qrstx + -5qrstx = -10qrstx 28qrst + -10qrstx + qrstx2 + qrstx2 = 4 Combine like terms: qrstx2 + qrstx2 = 2qrstx2 28qrst + -10qrstx + 2qrstx2 = 4 Solving 28qrst + -10qrstx + 2qrstx2 = 4 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -4 + 28qrst + -10qrstx + 2qrstx2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 28qrst + -10qrstx + 2qrstx2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 14qrst + -5qrstx + qrstx2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 14qrst + -5qrstx + qrstx2)' equal to zero and attempt to solve: Simplifying -2 + 14qrst + -5qrstx + qrstx2 = 0 Solving -2 + 14qrst + -5qrstx + qrstx2 = 0 Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 14qrst + -5qrstx + 2 + qrstx2 = 0 + 2 Reorder the terms: -2 + 2 + 14qrst + -5qrstx + qrstx2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 14qrst + -5qrstx + qrstx2 = 0 + 2 14qrst + -5qrstx + qrstx2 = 0 + 2 Combine like terms: 0 + 2 = 2 14qrst + -5qrstx + qrstx2 = 2 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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