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Simplifying sqrt(5v + -15) = sqrt(3v + -5) Reorder the terms: qrst(-15 + 5v) = sqrt(3v + -5) (-15 * qrst + 5v * qrst) = sqrt(3v + -5) (-15qrst + 5qrstv) = sqrt(3v + -5) Reorder the terms: -15qrst + 5qrstv = qrst(-5 + 3v) -15qrst + 5qrstv = (-5 * qrst + 3v * qrst) -15qrst + 5qrstv = (-5qrst + 3qrstv) Solving -15qrst + 5qrstv = -5qrst + 3qrstv Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5qrst' to each side of the equation. -15qrst + 5qrst + 5qrstv = -5qrst + 5qrst + 3qrstv Combine like terms: -15qrst + 5qrst = -10qrst -10qrst + 5qrstv = -5qrst + 5qrst + 3qrstv Combine like terms: -5qrst + 5qrst = 0 -10qrst + 5qrstv = 0 + 3qrstv -10qrst + 5qrstv = 3qrstv Add '-3qrstv' to each side of the equation. -10qrst + 5qrstv + -3qrstv = 3qrstv + -3qrstv Combine like terms: 5qrstv + -3qrstv = 2qrstv -10qrst + 2qrstv = 3qrstv + -3qrstv Combine like terms: 3qrstv + -3qrstv = 0 -10qrst + 2qrstv = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-5 + 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 '(-5 + v)' equal to zero and attempt to solve: Simplifying -5 + v = 0 Solving -5 + v = 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 + v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + v = 0 + 5 v = 0 + 5 Combine like terms: 0 + 5 = 5 v = 5 Add '-1v' to each side of the equation. v + -1v = 5 + -1v Combine like terms: v + -1v = 0 0 = 5 + -1v Simplifying 0 = 5 + -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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