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Simplifying sqrt(6v + 7) = sqrt(4v + 13) Reorder the terms: qrst(7 + 6v) = sqrt(4v + 13) (7 * qrst + 6v * qrst) = sqrt(4v + 13) (7qrst + 6qrstv) = sqrt(4v + 13) Reorder the terms: 7qrst + 6qrstv = qrst(13 + 4v) 7qrst + 6qrstv = (13 * qrst + 4v * qrst) 7qrst + 6qrstv = (13qrst + 4qrstv) Solving 7qrst + 6qrstv = 13qrst + 4qrstv 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. 7qrst + -13qrst + 6qrstv = 13qrst + -13qrst + 4qrstv Combine like terms: 7qrst + -13qrst = -6qrst -6qrst + 6qrstv = 13qrst + -13qrst + 4qrstv Combine like terms: 13qrst + -13qrst = 0 -6qrst + 6qrstv = 0 + 4qrstv -6qrst + 6qrstv = 4qrstv Add '-4qrstv' to each side of the equation. -6qrst + 6qrstv + -4qrstv = 4qrstv + -4qrstv Combine like terms: 6qrstv + -4qrstv = 2qrstv -6qrst + 2qrstv = 4qrstv + -4qrstv Combine like terms: 4qrstv + -4qrstv = 0 -6qrst + 2qrstv = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-3 + v) = 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 '(-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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