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Simplifying Sqrt(x + -2) = 3sqrt(x + 2) Reorder the terms: qrtS(-2 + x) = 3sqrt(x + 2) (-2 * qrtS + x * qrtS) = 3sqrt(x + 2) (-2qrtS + qrtxS) = 3sqrt(x + 2) Reorder the terms: -2qrtS + qrtxS = 3qrst(2 + x) -2qrtS + qrtxS = (2 * 3qrst + x * 3qrst) -2qrtS + qrtxS = (6qrst + 3qrstx) Solving -2qrtS + qrtxS = 6qrst + 3qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6qrst' to each side of the equation. -2qrtS + -6qrst + qrtxS = 6qrst + -6qrst + 3qrstx Reorder the terms: -6qrst + -2qrtS + qrtxS = 6qrst + -6qrst + 3qrstx Combine like terms: 6qrst + -6qrst = 0 -6qrst + -2qrtS + qrtxS = 0 + 3qrstx -6qrst + -2qrtS + qrtxS = 3qrstx Add '-3qrstx' to each side of the equation. -6qrst + -2qrtS + -3qrstx + qrtxS = 3qrstx + -3qrstx Reorder the terms: -6qrst + -3qrstx + -2qrtS + qrtxS = 3qrstx + -3qrstx Combine like terms: 3qrstx + -3qrstx = 0 -6qrst + -3qrstx + -2qrtS + qrtxS = 0 Factor out the Greatest Common Factor (GCF), 'qrt'. qrt(-6s + -3sx + -2S + xS) = 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 '(-6s + -3sx + -2S + xS)' equal to zero and attempt to solve: Simplifying -6s + -3sx + -2S + xS = 0 Reorder the terms: -2S + -6s + -3sx + xS = 0 Solving -2S + -6s + -3sx + xS = 0 Move all terms containing q to the left, all other terms to the right. Add '2S' to each side of the equation. -2S + -6s + -3sx + 2S + xS = 0 + 2S Reorder the terms: -2S + 2S + -6s + -3sx + xS = 0 + 2S Combine like terms: -2S + 2S = 0 0 + -6s + -3sx + xS = 0 + 2S -6s + -3sx + xS = 0 + 2S Remove the zero: -6s + -3sx + xS = 2S Add '6s' to each side of the equation. -6s + -3sx + 6s + xS = 2S + 6s Reorder the terms: -6s + 6s + -3sx + xS = 2S + 6s Combine like terms: -6s + 6s = 0 0 + -3sx + xS = 2S + 6s -3sx + xS = 2S + 6s Add '3sx' to each side of the equation. -3sx + 3sx + xS = 2S + 6s + 3sx Combine like terms: -3sx + 3sx = 0 0 + xS = 2S + 6s + 3sx xS = 2S + 6s + 3sx Add '-1xS' to each side of the equation. xS + -1xS = 2S + 6s + 3sx + -1xS Combine like terms: xS + -1xS = 0 0 = 2S + 6s + 3sx + -1xS Simplifying 0 = 2S + 6s + 3sx + -1xS 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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