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