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Simplifying Sqrt(6x + 7) + -1sqrt(5x + 1) = sqrt(4x + -11) Reorder the terms: qrtS(7 + 6x) + -1sqrt(5x + 1) = sqrt(4x + -11) (7 * qrtS + 6x * qrtS) + -1sqrt(5x + 1) = sqrt(4x + -11) (7qrtS + 6qrtxS) + -1sqrt(5x + 1) = sqrt(4x + -11) Reorder the terms: 7qrtS + 6qrtxS + -1qrst(1 + 5x) = sqrt(4x + -11) 7qrtS + 6qrtxS + (1 * -1qrst + 5x * -1qrst) = sqrt(4x + -11) 7qrtS + 6qrtxS + (-1qrst + -5qrstx) = sqrt(4x + -11) Reorder the terms: -1qrst + -5qrstx + 7qrtS + 6qrtxS = sqrt(4x + -11) Reorder the terms: -1qrst + -5qrstx + 7qrtS + 6qrtxS = qrst(-11 + 4x) -1qrst + -5qrstx + 7qrtS + 6qrtxS = (-11 * qrst + 4x * qrst) -1qrst + -5qrstx + 7qrtS + 6qrtxS = (-11qrst + 4qrstx) Solving -1qrst + -5qrstx + 7qrtS + 6qrtxS = -11qrst + 4qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '11qrst' to each side of the equation. -1qrst + -5qrstx + 7qrtS + 11qrst + 6qrtxS = -11qrst + 11qrst + 4qrstx Reorder the terms: -1qrst + 11qrst + -5qrstx + 7qrtS + 6qrtxS = -11qrst + 11qrst + 4qrstx Combine like terms: -1qrst + 11qrst = 10qrst 10qrst + -5qrstx + 7qrtS + 6qrtxS = -11qrst + 11qrst + 4qrstx Combine like terms: -11qrst + 11qrst = 0 10qrst + -5qrstx + 7qrtS + 6qrtxS = 0 + 4qrstx 10qrst + -5qrstx + 7qrtS + 6qrtxS = 4qrstx Add '-4qrstx' to each side of the equation. 10qrst + -5qrstx + 7qrtS + -4qrstx + 6qrtxS = 4qrstx + -4qrstx Reorder the terms: 10qrst + -5qrstx + -4qrstx + 7qrtS + 6qrtxS = 4qrstx + -4qrstx Combine like terms: -5qrstx + -4qrstx = -9qrstx 10qrst + -9qrstx + 7qrtS + 6qrtxS = 4qrstx + -4qrstx Combine like terms: 4qrstx + -4qrstx = 0 10qrst + -9qrstx + 7qrtS + 6qrtxS = 0 Factor out the Greatest Common Factor (GCF), 'qrt'. qrt(10s + -9sx + 7S + 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 '(10s + -9sx + 7S + 6xS)' equal to zero and attempt to solve: Simplifying 10s + -9sx + 7S + 6xS = 0 Reorder the terms: 7S + 10s + -9sx + 6xS = 0 Solving 7S + 10s + -9sx + 6xS = 0 Move all terms containing q to the left, all other terms to the right. Add '-7S' to each side of the equation. 7S + 10s + -9sx + -7S + 6xS = 0 + -7S Reorder the terms: 7S + -7S + 10s + -9sx + 6xS = 0 + -7S Combine like terms: 7S + -7S = 0 0 + 10s + -9sx + 6xS = 0 + -7S 10s + -9sx + 6xS = 0 + -7S Remove the zero: 10s + -9sx + 6xS = -7S Add '-10s' to each side of the equation. 10s + -9sx + -10s + 6xS = -7S + -10s Reorder the terms: 10s + -10s + -9sx + 6xS = -7S + -10s Combine like terms: 10s + -10s = 0 0 + -9sx + 6xS = -7S + -10s -9sx + 6xS = -7S + -10s Add '9sx' to each side of the equation. -9sx + 9sx + 6xS = -7S + -10s + 9sx Combine like terms: -9sx + 9sx = 0 0 + 6xS = -7S + -10s + 9sx 6xS = -7S + -10s + 9sx Add '-6xS' to each side of the equation. 6xS + -6xS = -7S + -10s + 9sx + -6xS Combine like terms: 6xS + -6xS = 0 0 = -7S + -10s + 9sx + -6xS Simplifying 0 = -7S + -10s + 9sx + -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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