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Simplifying sqrt(6u + 40) + -1sqrt(2u + 12) = 2 Reorder the terms: qrst(40 + 6u) + -1sqrt(2u + 12) = 2 (40 * qrst + 6u * qrst) + -1sqrt(2u + 12) = 2 (40qrst + 6qrstu) + -1sqrt(2u + 12) = 2 Reorder the terms: 40qrst + 6qrstu + -1qrst(12 + 2u) = 2 40qrst + 6qrstu + (12 * -1qrst + 2u * -1qrst) = 2 40qrst + 6qrstu + (-12qrst + -2qrstu) = 2 Reorder the terms: 40qrst + -12qrst + 6qrstu + -2qrstu = 2 Combine like terms: 40qrst + -12qrst = 28qrst 28qrst + 6qrstu + -2qrstu = 2 Combine like terms: 6qrstu + -2qrstu = 4qrstu 28qrst + 4qrstu = 2 Solving 28qrst + 4qrstu = 2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -2 + 28qrst + 4qrstu = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 28qrst + 4qrstu = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 14qrst + 2qrstu) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 14qrst + 2qrstu)' equal to zero and attempt to solve: Simplifying -1 + 14qrst + 2qrstu = 0 Solving -1 + 14qrst + 2qrstu = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 14qrst + 1 + 2qrstu = 0 + 1 Reorder the terms: -1 + 1 + 14qrst + 2qrstu = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 14qrst + 2qrstu = 0 + 1 14qrst + 2qrstu = 0 + 1 Combine like terms: 0 + 1 = 1 14qrst + 2qrstu = 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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