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Simplifying sqrt(8u + 3) = sqrt(6u + 13) Reorder the terms: qrst(3 + 8u) = sqrt(6u + 13) (3 * qrst + 8u * qrst) = sqrt(6u + 13) (3qrst + 8qrstu) = sqrt(6u + 13) Reorder the terms: 3qrst + 8qrstu = qrst(13 + 6u) 3qrst + 8qrstu = (13 * qrst + 6u * qrst) 3qrst + 8qrstu = (13qrst + 6qrstu) Solving 3qrst + 8qrstu = 13qrst + 6qrstu Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13qrst' to each side of the equation. 3qrst + -13qrst + 8qrstu = 13qrst + -13qrst + 6qrstu Combine like terms: 3qrst + -13qrst = -10qrst -10qrst + 8qrstu = 13qrst + -13qrst + 6qrstu Combine like terms: 13qrst + -13qrst = 0 -10qrst + 8qrstu = 0 + 6qrstu -10qrst + 8qrstu = 6qrstu Add '-6qrstu' to each side of the equation. -10qrst + 8qrstu + -6qrstu = 6qrstu + -6qrstu Combine like terms: 8qrstu + -6qrstu = 2qrstu -10qrst + 2qrstu = 6qrstu + -6qrstu Combine like terms: 6qrstu + -6qrstu = 0 -10qrst + 2qrstu = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-5 + u) = 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 + u)' equal to zero and attempt to solve: Simplifying -5 + u = 0 Solving -5 + u = 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 + u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + u = 0 + 5 u = 0 + 5 Combine like terms: 0 + 5 = 5 u = 5 Add '-1u' to each side of the equation. u + -1u = 5 + -1u Combine like terms: u + -1u = 0 0 = 5 + -1u Simplifying 0 = 5 + -1u 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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