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Simplifying Sqrt(8x + -15) = sqrt(6x + -3) Reorder the terms: qrtS(-15 + 8x) = sqrt(6x + -3) (-15 * qrtS + 8x * qrtS) = sqrt(6x + -3) (-15qrtS + 8qrtxS) = sqrt(6x + -3) Reorder the terms: -15qrtS + 8qrtxS = qrst(-3 + 6x) -15qrtS + 8qrtxS = (-3 * qrst + 6x * qrst) -15qrtS + 8qrtxS = (-3qrst + 6qrstx) Solving -15qrtS + 8qrtxS = -3qrst + 6qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3qrst' to each side of the equation. -15qrtS + 3qrst + 8qrtxS = -3qrst + 3qrst + 6qrstx Reorder the terms: 3qrst + -15qrtS + 8qrtxS = -3qrst + 3qrst + 6qrstx Combine like terms: -3qrst + 3qrst = 0 3qrst + -15qrtS + 8qrtxS = 0 + 6qrstx 3qrst + -15qrtS + 8qrtxS = 6qrstx Add '-6qrstx' to each side of the equation. 3qrst + -15qrtS + -6qrstx + 8qrtxS = 6qrstx + -6qrstx Reorder the terms: 3qrst + -6qrstx + -15qrtS + 8qrtxS = 6qrstx + -6qrstx Combine like terms: 6qrstx + -6qrstx = 0 3qrst + -6qrstx + -15qrtS + 8qrtxS = 0 Factor out the Greatest Common Factor (GCF), 'qrt'. qrt(3s + -6sx + -15S + 8xS) = 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 '(3s + -6sx + -15S + 8xS)' equal to zero and attempt to solve: Simplifying 3s + -6sx + -15S + 8xS = 0 Reorder the terms: -15S + 3s + -6sx + 8xS = 0 Solving -15S + 3s + -6sx + 8xS = 0 Move all terms containing q to the left, all other terms to the right. Add '15S' to each side of the equation. -15S + 3s + -6sx + 15S + 8xS = 0 + 15S Reorder the terms: -15S + 15S + 3s + -6sx + 8xS = 0 + 15S Combine like terms: -15S + 15S = 0 0 + 3s + -6sx + 8xS = 0 + 15S 3s + -6sx + 8xS = 0 + 15S Remove the zero: 3s + -6sx + 8xS = 15S Add '-3s' to each side of the equation. 3s + -6sx + -3s + 8xS = 15S + -3s Reorder the terms: 3s + -3s + -6sx + 8xS = 15S + -3s Combine like terms: 3s + -3s = 0 0 + -6sx + 8xS = 15S + -3s -6sx + 8xS = 15S + -3s Add '6sx' to each side of the equation. -6sx + 6sx + 8xS = 15S + -3s + 6sx Combine like terms: -6sx + 6sx = 0 0 + 8xS = 15S + -3s + 6sx 8xS = 15S + -3s + 6sx Add '-8xS' to each side of the equation. 8xS + -8xS = 15S + -3s + 6sx + -8xS Combine like terms: 8xS + -8xS = 0 0 = 15S + -3s + 6sx + -8xS Simplifying 0 = 15S + -3s + 6sx + -8xS 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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