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Simplifying 2sqrt(3x + -6) = 3sqrt(x) Reorder the terms: 2qrst(-6 + 3x) = 3sqrt(x) (-6 * 2qrst + 3x * 2qrst) = 3sqrt(x) (-12qrst + 6qrstx) = 3sqrt(x) Multiply qrst * x -12qrst + 6qrstx = 3qrstx Solving -12qrst + 6qrstx = 3qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3qrstx' to each side of the equation. -12qrst + 6qrstx + -3qrstx = 3qrstx + -3qrstx Combine like terms: 6qrstx + -3qrstx = 3qrstx -12qrst + 3qrstx = 3qrstx + -3qrstx Combine like terms: 3qrstx + -3qrstx = 0 -12qrst + 3qrstx = 0 Factor out the Greatest Common Factor (GCF), '3qrst'. 3qrst(-4 + x) = 0 Ignore the factor 3.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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -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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