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Simplifying sqrt(4v + -3) = sqrt(6v + -15) Reorder the terms: qrst(-3 + 4v) = sqrt(6v + -15) (-3 * qrst + 4v * qrst) = sqrt(6v + -15) (-3qrst + 4qrstv) = sqrt(6v + -15) Reorder the terms: -3qrst + 4qrstv = qrst(-15 + 6v) -3qrst + 4qrstv = (-15 * qrst + 6v * qrst) -3qrst + 4qrstv = (-15qrst + 6qrstv) Solving -3qrst + 4qrstv = -15qrst + 6qrstv 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. -3qrst + 15qrst + 4qrstv = -15qrst + 15qrst + 6qrstv Combine like terms: -3qrst + 15qrst = 12qrst 12qrst + 4qrstv = -15qrst + 15qrst + 6qrstv Combine like terms: -15qrst + 15qrst = 0 12qrst + 4qrstv = 0 + 6qrstv 12qrst + 4qrstv = 6qrstv Add '-6qrstv' to each side of the equation. 12qrst + 4qrstv + -6qrstv = 6qrstv + -6qrstv Combine like terms: 4qrstv + -6qrstv = -2qrstv 12qrst + -2qrstv = 6qrstv + -6qrstv Combine like terms: 6qrstv + -6qrstv = 0 12qrst + -2qrstv = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(6 + -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 '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 0 Move all terms containing q to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Add 'v' to each side of the equation. -1v + v = -6 + v Combine like terms: -1v + v = 0 0 = -6 + v Simplifying 0 = -6 + 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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