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Simplifying sqrt(9v + 2) = sqrt(6v + 11) Reorder the terms: qrst(2 + 9v) = sqrt(6v + 11) (2 * qrst + 9v * qrst) = sqrt(6v + 11) (2qrst + 9qrstv) = sqrt(6v + 11) Reorder the terms: 2qrst + 9qrstv = qrst(11 + 6v) 2qrst + 9qrstv = (11 * qrst + 6v * qrst) 2qrst + 9qrstv = (11qrst + 6qrstv) Solving 2qrst + 9qrstv = 11qrst + 6qrstv Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11qrst' to each side of the equation. 2qrst + -11qrst + 9qrstv = 11qrst + -11qrst + 6qrstv Combine like terms: 2qrst + -11qrst = -9qrst -9qrst + 9qrstv = 11qrst + -11qrst + 6qrstv Combine like terms: 11qrst + -11qrst = 0 -9qrst + 9qrstv = 0 + 6qrstv -9qrst + 9qrstv = 6qrstv Add '-6qrstv' to each side of the equation. -9qrst + 9qrstv + -6qrstv = 6qrstv + -6qrstv Combine like terms: 9qrstv + -6qrstv = 3qrstv -9qrst + 3qrstv = 6qrstv + -6qrstv Combine like terms: 6qrstv + -6qrstv = 0 -9qrst + 3qrstv = 0 Factor out the Greatest Common Factor (GCF), '3qrst'. 3qrst(-3 + v) = 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 '(-3 + v)' equal to zero and attempt to solve: Simplifying -3 + v = 0 Solving -3 + v = 0 Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + v = 0 + 3 v = 0 + 3 Combine like terms: 0 + 3 = 3 v = 3 Add '-1v' to each side of the equation. v + -1v = 3 + -1v Combine like terms: v + -1v = 0 0 = 3 + -1v Simplifying 0 = 3 + -1v 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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