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Simplifying sqrt(4sqrt(4x + 9)) = sqrt(8x + 2) Reorder the terms: qrst(4qrst(9 + 4x)) = sqrt(8x + 2) qrst((9 * 4qrst + 4x * 4qrst)) = sqrt(8x + 2) qrst((36qrst + 16qrstx)) = sqrt(8x + 2) (36qrst * qrst + 16qrstx * qrst) = sqrt(8x + 2) (36q2r2s2t2 + 16q2r2s2t2x) = sqrt(8x + 2) Reorder the terms: 36q2r2s2t2 + 16q2r2s2t2x = qrst(2 + 8x) 36q2r2s2t2 + 16q2r2s2t2x = (2 * qrst + 8x * qrst) 36q2r2s2t2 + 16q2r2s2t2x = (2qrst + 8qrstx) Solving 36q2r2s2t2 + 16q2r2s2t2x = 2qrst + 8qrstx Solving for variable 'q'. Reorder the terms: -2qrst + -8qrstx + 36q2r2s2t2 + 16q2r2s2t2x = 2qrst + 8qrstx + -2qrst + -8qrstx Reorder the terms: -2qrst + -8qrstx + 36q2r2s2t2 + 16q2r2s2t2x = 2qrst + -2qrst + 8qrstx + -8qrstx Combine like terms: 2qrst + -2qrst = 0 -2qrst + -8qrstx + 36q2r2s2t2 + 16q2r2s2t2x = 0 + 8qrstx + -8qrstx -2qrst + -8qrstx + 36q2r2s2t2 + 16q2r2s2t2x = 8qrstx + -8qrstx Combine like terms: 8qrstx + -8qrstx = 0 -2qrst + -8qrstx + 36q2r2s2t2 + 16q2r2s2t2x = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-1 + -4x + 18qrst + 8qrstx) = 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 '(-1 + -4x + 18qrst + 8qrstx)' equal to zero and attempt to solve: Simplifying -1 + -4x + 18qrst + 8qrstx = 0 Reorder the terms: -1 + 18qrst + 8qrstx + -4x = 0 Solving -1 + 18qrst + 8qrstx + -4x = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 18qrst + 8qrstx + 1 + -4x = 0 + 1 Reorder the terms: -1 + 1 + 18qrst + 8qrstx + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 18qrst + 8qrstx + -4x = 0 + 1 18qrst + 8qrstx + -4x = 0 + 1 Combine like terms: 0 + 1 = 1 18qrst + 8qrstx + -4x = 1 Add '4x' to each side of the equation. 18qrst + 8qrstx + -4x + 4x = 1 + 4x Combine like terms: -4x + 4x = 0 18qrst + 8qrstx + 0 = 1 + 4x 18qrst + 8qrstx = 1 + 4x 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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