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Simplifying sqrt(2sqrt(2x + 3)) = sqrt(x + 3) Reorder the terms: qrst(2qrst(3 + 2x)) = sqrt(x + 3) qrst((3 * 2qrst + 2x * 2qrst)) = sqrt(x + 3) qrst((6qrst + 4qrstx)) = sqrt(x + 3) (6qrst * qrst + 4qrstx * qrst) = sqrt(x + 3) (6q2r2s2t2 + 4q2r2s2t2x) = sqrt(x + 3) Reorder the terms: 6q2r2s2t2 + 4q2r2s2t2x = qrst(3 + x) 6q2r2s2t2 + 4q2r2s2t2x = (3 * qrst + x * qrst) 6q2r2s2t2 + 4q2r2s2t2x = (3qrst + qrstx) Solving 6q2r2s2t2 + 4q2r2s2t2x = 3qrst + qrstx Solving for variable 'q'. Reorder the terms: -3qrst + -1qrstx + 6q2r2s2t2 + 4q2r2s2t2x = 3qrst + qrstx + -3qrst + -1qrstx Reorder the terms: -3qrst + -1qrstx + 6q2r2s2t2 + 4q2r2s2t2x = 3qrst + -3qrst + qrstx + -1qrstx Combine like terms: 3qrst + -3qrst = 0 -3qrst + -1qrstx + 6q2r2s2t2 + 4q2r2s2t2x = 0 + qrstx + -1qrstx -3qrst + -1qrstx + 6q2r2s2t2 + 4q2r2s2t2x = qrstx + -1qrstx Combine like terms: qrstx + -1qrstx = 0 -3qrst + -1qrstx + 6q2r2s2t2 + 4q2r2s2t2x = 0 Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(-3 + -1x + 6qrst + 4qrstx) = 0Subproblem 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 '(-3 + -1x + 6qrst + 4qrstx)' equal to zero and attempt to solve: Simplifying -3 + -1x + 6qrst + 4qrstx = 0 Reorder the terms: -3 + 6qrst + 4qrstx + -1x = 0 Solving -3 + 6qrst + 4qrstx + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 6qrst + 4qrstx + 3 + -1x = 0 + 3 Reorder the terms: -3 + 3 + 6qrst + 4qrstx + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6qrst + 4qrstx + -1x = 0 + 3 6qrst + 4qrstx + -1x = 0 + 3 Combine like terms: 0 + 3 = 3 6qrst + 4qrstx + -1x = 3 Add 'x' to each side of the equation. 6qrst + 4qrstx + -1x + x = 3 + x Combine like terms: -1x + x = 0 6qrst + 4qrstx + 0 = 3 + x 6qrst + 4qrstx = 3 + 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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