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