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Simplifying sqrt(5u + -11) = sqrt(2u + 10) Reorder the terms: qrst(-11 + 5u) = sqrt(2u + 10) (-11 * qrst + 5u * qrst) = sqrt(2u + 10) (-11qrst + 5qrstu) = sqrt(2u + 10) Reorder the terms: -11qrst + 5qrstu = qrst(10 + 2u) -11qrst + 5qrstu = (10 * qrst + 2u * qrst) -11qrst + 5qrstu = (10qrst + 2qrstu) Solving -11qrst + 5qrstu = 10qrst + 2qrstu Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10qrst' to each side of the equation. -11qrst + -10qrst + 5qrstu = 10qrst + -10qrst + 2qrstu Combine like terms: -11qrst + -10qrst = -21qrst -21qrst + 5qrstu = 10qrst + -10qrst + 2qrstu Combine like terms: 10qrst + -10qrst = 0 -21qrst + 5qrstu = 0 + 2qrstu -21qrst + 5qrstu = 2qrstu Add '-2qrstu' to each side of the equation. -21qrst + 5qrstu + -2qrstu = 2qrstu + -2qrstu Combine like terms: 5qrstu + -2qrstu = 3qrstu -21qrst + 3qrstu = 2qrstu + -2qrstu Combine like terms: 2qrstu + -2qrstu = 0 -21qrst + 3qrstu = 0 Factor out the Greatest Common Factor (GCF), '3qrst'. 3qrst(-7 + u) = 0 Ignore the factor 3.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 '(-7 + u)' equal to zero and attempt to solve: Simplifying -7 + u = 0 Solving -7 + u = 0 Move all terms containing q to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + u = 0 + 7 u = 0 + 7 Combine like terms: 0 + 7 = 7 u = 7 Add '-1u' to each side of the equation. u + -1u = 7 + -1u Combine like terms: u + -1u = 0 0 = 7 + -1u Simplifying 0 = 7 + -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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