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Simplifying sqrt(6u + 13) = sqrt(8u + 3) Reorder the terms: qrst(13 + 6u) = sqrt(8u + 3) (13 * qrst + 6u * qrst) = sqrt(8u + 3) (13qrst + 6qrstu) = sqrt(8u + 3) Reorder the terms: 13qrst + 6qrstu = qrst(3 + 8u) 13qrst + 6qrstu = (3 * qrst + 8u * qrst) 13qrst + 6qrstu = (3qrst + 8qrstu) Solving 13qrst + 6qrstu = 3qrst + 8qrstu Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3qrst' to each side of the equation. 13qrst + -3qrst + 6qrstu = 3qrst + -3qrst + 8qrstu Combine like terms: 13qrst + -3qrst = 10qrst 10qrst + 6qrstu = 3qrst + -3qrst + 8qrstu Combine like terms: 3qrst + -3qrst = 0 10qrst + 6qrstu = 0 + 8qrstu 10qrst + 6qrstu = 8qrstu Add '-8qrstu' to each side of the equation. 10qrst + 6qrstu + -8qrstu = 8qrstu + -8qrstu Combine like terms: 6qrstu + -8qrstu = -2qrstu 10qrst + -2qrstu = 8qrstu + -8qrstu Combine like terms: 8qrstu + -8qrstu = 0 10qrst + -2qrstu = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(5 + -1u) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Add 'u' to each side of the equation. -1u + u = -5 + u Combine like terms: -1u + u = 0 0 = -5 + u Simplifying 0 = -5 + u 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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