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Simplifying Sqrt(4 + 7x) = sqrt(7x + -9) (4 * qrtS + 7x * qrtS) = sqrt(7x + -9) (4qrtS + 7qrtxS) = sqrt(7x + -9) Reorder the terms: 4qrtS + 7qrtxS = qrst(-9 + 7x) 4qrtS + 7qrtxS = (-9 * qrst + 7x * qrst) 4qrtS + 7qrtxS = (-9qrst + 7qrstx) Solving 4qrtS + 7qrtxS = -9qrst + 7qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '9qrst' to each side of the equation. 4qrtS + 9qrst + 7qrtxS = -9qrst + 9qrst + 7qrstx Reorder the terms: 9qrst + 4qrtS + 7qrtxS = -9qrst + 9qrst + 7qrstx Combine like terms: -9qrst + 9qrst = 0 9qrst + 4qrtS + 7qrtxS = 0 + 7qrstx 9qrst + 4qrtS + 7qrtxS = 7qrstx Add '-7qrstx' to each side of the equation. 9qrst + 4qrtS + -7qrstx + 7qrtxS = 7qrstx + -7qrstx Reorder the terms: 9qrst + -7qrstx + 4qrtS + 7qrtxS = 7qrstx + -7qrstx Combine like terms: 7qrstx + -7qrstx = 0 9qrst + -7qrstx + 4qrtS + 7qrtxS = 0 Factor out the Greatest Common Factor (GCF), 'qrt'. qrt(9s + -7sx + 4S + 7xS) = 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 '(9s + -7sx + 4S + 7xS)' equal to zero and attempt to solve: Simplifying 9s + -7sx + 4S + 7xS = 0 Reorder the terms: 4S + 9s + -7sx + 7xS = 0 Solving 4S + 9s + -7sx + 7xS = 0 Move all terms containing q to the left, all other terms to the right. Add '-4S' to each side of the equation. 4S + 9s + -7sx + -4S + 7xS = 0 + -4S Reorder the terms: 4S + -4S + 9s + -7sx + 7xS = 0 + -4S Combine like terms: 4S + -4S = 0 0 + 9s + -7sx + 7xS = 0 + -4S 9s + -7sx + 7xS = 0 + -4S Remove the zero: 9s + -7sx + 7xS = -4S Add '-9s' to each side of the equation. 9s + -7sx + -9s + 7xS = -4S + -9s Reorder the terms: 9s + -9s + -7sx + 7xS = -4S + -9s Combine like terms: 9s + -9s = 0 0 + -7sx + 7xS = -4S + -9s -7sx + 7xS = -4S + -9s Add '7sx' to each side of the equation. -7sx + 7sx + 7xS = -4S + -9s + 7sx Combine like terms: -7sx + 7sx = 0 0 + 7xS = -4S + -9s + 7sx 7xS = -4S + -9s + 7sx Add '-7xS' to each side of the equation. 7xS + -7xS = -4S + -9s + 7sx + -7xS Combine like terms: 7xS + -7xS = 0 0 = -4S + -9s + 7sx + -7xS Simplifying 0 = -4S + -9s + 7sx + -7xS 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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