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Simplifying x = sqrt(5 + sqrt(x + 5)) Reorder the terms: x = qrst(5 + qrst(5 + x)) x = qrst(5 + (5 * qrst + x * qrst)) x = qrst(5 + (5qrst + qrstx)) x = (5 * qrst + 5qrst * qrst + qrstx * qrst) x = (5qrst + 5q2r2s2t2 + q2r2s2t2x) Solving x = 5qrst + 5q2r2s2t2 + q2r2s2t2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1q2r2s2t2x' to each side of the equation. -1q2r2s2t2x + x = 5qrst + 5q2r2s2t2 + q2r2s2t2x + -1q2r2s2t2x Combine like terms: q2r2s2t2x + -1q2r2s2t2x = 0 -1q2r2s2t2x + x = 5qrst + 5q2r2s2t2 + 0 -1q2r2s2t2x + x = 5qrst + 5q2r2s2t2 Reorder the terms: -5qrst + -5q2r2s2t2 + -1q2r2s2t2x + x = 5qrst + 5q2r2s2t2 + -5qrst + -5q2r2s2t2 Reorder the terms: -5qrst + -5q2r2s2t2 + -1q2r2s2t2x + x = 5qrst + -5qrst + 5q2r2s2t2 + -5q2r2s2t2 Combine like terms: 5qrst + -5qrst = 0 -5qrst + -5q2r2s2t2 + -1q2r2s2t2x + x = 0 + 5q2r2s2t2 + -5q2r2s2t2 -5qrst + -5q2r2s2t2 + -1q2r2s2t2x + x = 5q2r2s2t2 + -5q2r2s2t2 Combine like terms: 5q2r2s2t2 + -5q2r2s2t2 = 0 -5qrst + -5q2r2s2t2 + -1q2r2s2t2x + x = 0 The solution to this equation could not be determined.
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