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Simplifying 3sqrt(x + 8) = 3sqrt(2x + -6) Reorder the terms: 3qrst(8 + x) = 3sqrt(2x + -6) (8 * 3qrst + x * 3qrst) = 3sqrt(2x + -6) (24qrst + 3qrstx) = 3sqrt(2x + -6) Reorder the terms: 24qrst + 3qrstx = 3qrst(-6 + 2x) 24qrst + 3qrstx = (-6 * 3qrst + 2x * 3qrst) 24qrst + 3qrstx = (-18qrst + 6qrstx) Solving 24qrst + 3qrstx = -18qrst + 6qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '18qrst' to each side of the equation. 24qrst + 18qrst + 3qrstx = -18qrst + 18qrst + 6qrstx Combine like terms: 24qrst + 18qrst = 42qrst 42qrst + 3qrstx = -18qrst + 18qrst + 6qrstx Combine like terms: -18qrst + 18qrst = 0 42qrst + 3qrstx = 0 + 6qrstx 42qrst + 3qrstx = 6qrstx Add '-6qrstx' to each side of the equation. 42qrst + 3qrstx + -6qrstx = 6qrstx + -6qrstx Combine like terms: 3qrstx + -6qrstx = -3qrstx 42qrst + -3qrstx = 6qrstx + -6qrstx Combine like terms: 6qrstx + -6qrstx = 0 42qrst + -3qrstx = 0 Factor out the Greatest Common Factor (GCF), '3qrst'. 3qrst(14 + -1x) = 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 '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Add 'x' to each side of the equation. -1x + x = -14 + x Combine like terms: -1x + x = 0 0 = -14 + x Simplifying 0 = -14 + x 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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