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Simplifying sqrt(6x + -15) = sqrt(4x + -3) Reorder the terms: qrst(-15 + 6x) = sqrt(4x + -3) (-15 * qrst + 6x * qrst) = sqrt(4x + -3) (-15qrst + 6qrstx) = sqrt(4x + -3) Reorder the terms: -15qrst + 6qrstx = qrst(-3 + 4x) -15qrst + 6qrstx = (-3 * qrst + 4x * qrst) -15qrst + 6qrstx = (-3qrst + 4qrstx) Solving -15qrst + 6qrstx = -3qrst + 4qrstx 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. -15qrst + 3qrst + 6qrstx = -3qrst + 3qrst + 4qrstx Combine like terms: -15qrst + 3qrst = -12qrst -12qrst + 6qrstx = -3qrst + 3qrst + 4qrstx Combine like terms: -3qrst + 3qrst = 0 -12qrst + 6qrstx = 0 + 4qrstx -12qrst + 6qrstx = 4qrstx Add '-4qrstx' to each side of the equation. -12qrst + 6qrstx + -4qrstx = 4qrstx + -4qrstx Combine like terms: 6qrstx + -4qrstx = 2qrstx -12qrst + 2qrstx = 4qrstx + -4qrstx Combine like terms: 4qrstx + -4qrstx = 0 -12qrst + 2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-6 + x) = 0 Ignore the factor 2.## Subproblem 1

Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -1x 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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