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Simplifying sqrt(4v + -1) = sqrt(6v + -15) Reorder the terms: qrst(-1 + 4v) = sqrt(6v + -15) (-1 * qrst + 4v * qrst) = sqrt(6v + -15) (-1qrst + 4qrstv) = sqrt(6v + -15) Reorder the terms: -1qrst + 4qrstv = qrst(-15 + 6v) -1qrst + 4qrstv = (-15 * qrst + 6v * qrst) -1qrst + 4qrstv = (-15qrst + 6qrstv) Solving -1qrst + 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. -1qrst + 15qrst + 4qrstv = -15qrst + 15qrst + 6qrstv Combine like terms: -1qrst + 15qrst = 14qrst 14qrst + 4qrstv = -15qrst + 15qrst + 6qrstv Combine like terms: -15qrst + 15qrst = 0 14qrst + 4qrstv = 0 + 6qrstv 14qrst + 4qrstv = 6qrstv Add '-6qrstv' to each side of the equation. 14qrst + 4qrstv + -6qrstv = 6qrstv + -6qrstv Combine like terms: 4qrstv + -6qrstv = -2qrstv 14qrst + -2qrstv = 6qrstv + -6qrstv Combine like terms: 6qrstv + -6qrstv = 0 14qrst + -2qrstv = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(7 + -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 '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Add 'v' to each side of the equation. -1v + v = -7 + v Combine like terms: -1v + v = 0 0 = -7 + v Simplifying 0 = -7 + 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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