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Simplifying 6sqrt(x + -2) = 4sqrt(x + 8) Reorder the terms: 6qrst(-2 + x) = 4sqrt(x + 8) (-2 * 6qrst + x * 6qrst) = 4sqrt(x + 8) (-12qrst + 6qrstx) = 4sqrt(x + 8) Reorder the terms: -12qrst + 6qrstx = 4qrst(8 + x) -12qrst + 6qrstx = (8 * 4qrst + x * 4qrst) -12qrst + 6qrstx = (32qrst + 4qrstx) Solving -12qrst + 6qrstx = 32qrst + 4qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-32qrst' to each side of the equation. -12qrst + -32qrst + 6qrstx = 32qrst + -32qrst + 4qrstx Combine like terms: -12qrst + -32qrst = -44qrst -44qrst + 6qrstx = 32qrst + -32qrst + 4qrstx Combine like terms: 32qrst + -32qrst = 0 -44qrst + 6qrstx = 0 + 4qrstx -44qrst + 6qrstx = 4qrstx Add '-4qrstx' to each side of the equation. -44qrst + 6qrstx + -4qrstx = 4qrstx + -4qrstx Combine like terms: 6qrstx + -4qrstx = 2qrstx -44qrst + 2qrstx = 4qrstx + -4qrstx Combine like terms: 4qrstx + -4qrstx = 0 -44qrst + 2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-22 + 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 '(-22 + x)' equal to zero and attempt to solve: Simplifying -22 + x = 0 Solving -22 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + x = 0 + 22 x = 0 + 22 Combine like terms: 0 + 22 = 22 x = 22 Add '-1x' to each side of the equation. x + -1x = 22 + -1x Combine like terms: x + -1x = 0 0 = 22 + -1x Simplifying 0 = 22 + -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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