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Simplifying sqrt(9 + 4x) + sqrt(4 + -1x) = Sqrt(6x + 1) (9 * qrst + 4x * qrst) + sqrt(4 + -1x) = Sqrt(6x + 1) (9qrst + 4qrstx) + sqrt(4 + -1x) = Sqrt(6x + 1) 9qrst + 4qrstx + (4 * qrst + -1x * qrst) = Sqrt(6x + 1) 9qrst + 4qrstx + (4qrst + -1qrstx) = Sqrt(6x + 1) Reorder the terms: 9qrst + 4qrst + 4qrstx + -1qrstx = Sqrt(6x + 1) Combine like terms: 9qrst + 4qrst = 13qrst 13qrst + 4qrstx + -1qrstx = Sqrt(6x + 1) Combine like terms: 4qrstx + -1qrstx = 3qrstx 13qrst + 3qrstx = Sqrt(6x + 1) Reorder the terms: 13qrst + 3qrstx = qrtS(1 + 6x) 13qrst + 3qrstx = (1 * qrtS + 6x * qrtS) 13qrst + 3qrstx = (1qrtS + 6qrtxS) Solving 13qrst + 3qrstx = 1qrtS + 6qrtxS Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1qrtS' to each side of the equation. 13qrst + 3qrstx + -1qrtS = 1qrtS + -1qrtS + 6qrtxS Combine like terms: 1qrtS + -1qrtS = 0 13qrst + 3qrstx + -1qrtS = 0 + 6qrtxS 13qrst + 3qrstx + -1qrtS = 6qrtxS Add '-6qrtxS' to each side of the equation. 13qrst + 3qrstx + -1qrtS + -6qrtxS = 6qrtxS + -6qrtxS Combine like terms: 6qrtxS + -6qrtxS = 0 13qrst + 3qrstx + -1qrtS + -6qrtxS = 0 Factor out the Greatest Common Factor (GCF), 'qrt'. qrt(13s + 3sx + -1S + -6xS) = 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 '(13s + 3sx + -1S + -6xS)' equal to zero and attempt to solve: Simplifying 13s + 3sx + -1S + -6xS = 0 Reorder the terms: -1S + 13s + 3sx + -6xS = 0 Solving -1S + 13s + 3sx + -6xS = 0 Move all terms containing q to the left, all other terms to the right. Add 'S' to each side of the equation. -1S + 13s + 3sx + S + -6xS = 0 + S Reorder the terms: -1S + S + 13s + 3sx + -6xS = 0 + S Combine like terms: -1S + S = 0 0 + 13s + 3sx + -6xS = 0 + S 13s + 3sx + -6xS = 0 + S Remove the zero: 13s + 3sx + -6xS = S Add '-13s' to each side of the equation. 13s + 3sx + -13s + -6xS = S + -13s Reorder the terms: 13s + -13s + 3sx + -6xS = S + -13s Combine like terms: 13s + -13s = 0 0 + 3sx + -6xS = S + -13s 3sx + -6xS = S + -13s Add '-3sx' to each side of the equation. 3sx + -3sx + -6xS = S + -13s + -3sx Combine like terms: 3sx + -3sx = 0 0 + -6xS = S + -13s + -3sx -6xS = S + -13s + -3sx Add '6xS' to each side of the equation. -6xS + 6xS = S + -13s + -3sx + 6xS Combine like terms: -6xS + 6xS = 0 0 = S + -13s + -3sx + 6xS Simplifying 0 = S + -13s + -3sx + 6xS 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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