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Simplifying sqrt(2v + 15) = sqrt(5v + 3) Reorder the terms: qrst(15 + 2v) = sqrt(5v + 3) (15 * qrst + 2v * qrst) = sqrt(5v + 3) (15qrst + 2qrstv) = sqrt(5v + 3) Reorder the terms: 15qrst + 2qrstv = qrst(3 + 5v) 15qrst + 2qrstv = (3 * qrst + 5v * qrst) 15qrst + 2qrstv = (3qrst + 5qrstv) Solving 15qrst + 2qrstv = 3qrst + 5qrstv 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. 15qrst + -3qrst + 2qrstv = 3qrst + -3qrst + 5qrstv Combine like terms: 15qrst + -3qrst = 12qrst 12qrst + 2qrstv = 3qrst + -3qrst + 5qrstv Combine like terms: 3qrst + -3qrst = 0 12qrst + 2qrstv = 0 + 5qrstv 12qrst + 2qrstv = 5qrstv Add '-5qrstv' to each side of the equation. 12qrst + 2qrstv + -5qrstv = 5qrstv + -5qrstv Combine like terms: 2qrstv + -5qrstv = -3qrstv 12qrst + -3qrstv = 5qrstv + -5qrstv Combine like terms: 5qrstv + -5qrstv = 0 12qrst + -3qrstv = 0 Factor out the Greatest Common Factor (GCF), '3qrst'. 3qrst(4 + -1v) = 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 '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Add 'v' to each side of the equation. -1v + v = -4 + v Combine like terms: -1v + v = 0 0 = -4 + v Simplifying 0 = -4 + v 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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