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Simplifying Sqrt(4v + 7) = sqrt(6v + -15) Reorder the terms: qrtS(7 + 4v) = sqrt(6v + -15) (7 * qrtS + 4v * qrtS) = sqrt(6v + -15) (7qrtS + 4qrtvS) = sqrt(6v + -15) Reorder the terms: 7qrtS + 4qrtvS = qrst(-15 + 6v) 7qrtS + 4qrtvS = (-15 * qrst + 6v * qrst) 7qrtS + 4qrtvS = (-15qrst + 6qrstv) Solving 7qrtS + 4qrtvS = -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. 7qrtS + 15qrst + 4qrtvS = -15qrst + 15qrst + 6qrstv Reorder the terms: 15qrst + 7qrtS + 4qrtvS = -15qrst + 15qrst + 6qrstv Combine like terms: -15qrst + 15qrst = 0 15qrst + 7qrtS + 4qrtvS = 0 + 6qrstv 15qrst + 7qrtS + 4qrtvS = 6qrstv Add '-6qrstv' to each side of the equation. 15qrst + 7qrtS + -6qrstv + 4qrtvS = 6qrstv + -6qrstv Reorder the terms: 15qrst + -6qrstv + 7qrtS + 4qrtvS = 6qrstv + -6qrstv Combine like terms: 6qrstv + -6qrstv = 0 15qrst + -6qrstv + 7qrtS + 4qrtvS = 0 Factor out the Greatest Common Factor (GCF), 'qrt'. qrt(15s + -6sv + 7S + 4vS) = 0Subproblem 1
Set the factor 'qrt' equal to zero and attempt to solve: Simplifying qrt = 0 Solving qrt = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrt = 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 '(15s + -6sv + 7S + 4vS)' equal to zero and attempt to solve: Simplifying 15s + -6sv + 7S + 4vS = 0 Reorder the terms: 7S + 15s + -6sv + 4vS = 0 Solving 7S + 15s + -6sv + 4vS = 0 Move all terms containing q to the left, all other terms to the right. Add '-7S' to each side of the equation. 7S + 15s + -6sv + -7S + 4vS = 0 + -7S Reorder the terms: 7S + -7S + 15s + -6sv + 4vS = 0 + -7S Combine like terms: 7S + -7S = 0 0 + 15s + -6sv + 4vS = 0 + -7S 15s + -6sv + 4vS = 0 + -7S Remove the zero: 15s + -6sv + 4vS = -7S Add '-15s' to each side of the equation. 15s + -6sv + -15s + 4vS = -7S + -15s Reorder the terms: 15s + -15s + -6sv + 4vS = -7S + -15s Combine like terms: 15s + -15s = 0 0 + -6sv + 4vS = -7S + -15s -6sv + 4vS = -7S + -15s Add '6sv' to each side of the equation. -6sv + 6sv + 4vS = -7S + -15s + 6sv Combine like terms: -6sv + 6sv = 0 0 + 4vS = -7S + -15s + 6sv 4vS = -7S + -15s + 6sv Add '-4vS' to each side of the equation. 4vS + -4vS = -7S + -15s + 6sv + -4vS Combine like terms: 4vS + -4vS = 0 0 = -7S + -15s + 6sv + -4vS Simplifying 0 = -7S + -15s + 6sv + -4vS 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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