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Simplifying sqrt(6v + -15) = sqrt(4v + 7) Reorder the terms: qrst(-15 + 6v) = sqrt(4v + 7) (-15 * qrst + 6v * qrst) = sqrt(4v + 7) (-15qrst + 6qrstv) = sqrt(4v + 7) Reorder the terms: -15qrst + 6qrstv = qrst(7 + 4v) -15qrst + 6qrstv = (7 * qrst + 4v * qrst) -15qrst + 6qrstv = (7qrst + 4qrstv) Solving -15qrst + 6qrstv = 7qrst + 4qrstv Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7qrst' to each side of the equation. -15qrst + -7qrst + 6qrstv = 7qrst + -7qrst + 4qrstv Combine like terms: -15qrst + -7qrst = -22qrst -22qrst + 6qrstv = 7qrst + -7qrst + 4qrstv Combine like terms: 7qrst + -7qrst = 0 -22qrst + 6qrstv = 0 + 4qrstv -22qrst + 6qrstv = 4qrstv Add '-4qrstv' to each side of the equation. -22qrst + 6qrstv + -4qrstv = 4qrstv + -4qrstv Combine like terms: 6qrstv + -4qrstv = 2qrstv -22qrst + 2qrstv = 4qrstv + -4qrstv Combine like terms: 4qrstv + -4qrstv = 0 -22qrst + 2qrstv = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-11 + 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 '(-11 + v)' equal to zero and attempt to solve: Simplifying -11 + v = 0 Solving -11 + v = 0 Move all terms containing q to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + v = 0 + 11 Combine like terms: -11 + 11 = 0 0 + v = 0 + 11 v = 0 + 11 Combine like terms: 0 + 11 = 11 v = 11 Add '-1v' to each side of the equation. v + -1v = 11 + -1v Combine like terms: v + -1v = 0 0 = 11 + -1v Simplifying 0 = 11 + -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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