x^2=a+sqrt(a+sqrt(a+x))

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Solution for x^2=a+sqrt(a+sqrt(a+x)) equation: 


Simplifying
x2 = a + sqrt(a + sqrt(a + x))
x2 = a + qrst(a + (a * qrst + x * qrst))
x2 = a + qrst(a + (aqrst + qrstx))
x2 = a + (a * qrst + aqrst * qrst + qrstx * qrst)
x2 = a + (aqrst + aq2r2s2t2 + q2r2s2t2x)

Solving
x2 = a + aqrst + aq2r2s2t2 + q2r2s2t2x

Solving for variable 'x'.

Reorder the terms:
-1a + -1aqrst + -1aq2r2s2t2 + -1q2r2s2t2x + x2 = a + aqrst + aq2r2s2t2 + q2r2s2t2x + -1a + -1aqrst + -1aq2r2s2t2 + -1q2r2s2t2x

Reorder the terms:
-1a + -1aqrst + -1aq2r2s2t2 + -1q2r2s2t2x + x2 = a + -1a + aqrst + -1aqrst + aq2r2s2t2 + -1aq2r2s2t2 + q2r2s2t2x + -1q2r2s2t2x

Combine like terms: a + -1a = 0
-1a + -1aqrst + -1aq2r2s2t2 + -1q2r2s2t2x + x2 = 0 + aqrst + -1aqrst + aq2r2s2t2 + -1aq2r2s2t2 + q2r2s2t2x + -1q2r2s2t2x
-1a + -1aqrst + -1aq2r2s2t2 + -1q2r2s2t2x + x2 = aqrst + -1aqrst + aq2r2s2t2 + -1aq2r2s2t2 + q2r2s2t2x + -1q2r2s2t2x

Combine like terms: aqrst + -1aqrst = 0
-1a + -1aqrst + -1aq2r2s2t2 + -1q2r2s2t2x + x2 = 0 + aq2r2s2t2 + -1aq2r2s2t2 + q2r2s2t2x + -1q2r2s2t2x
-1a + -1aqrst + -1aq2r2s2t2 + -1q2r2s2t2x + x2 = aq2r2s2t2 + -1aq2r2s2t2 + q2r2s2t2x + -1q2r2s2t2x

Combine like terms: aq2r2s2t2 + -1aq2r2s2t2 = 0
-1a + -1aqrst + -1aq2r2s2t2 + -1q2r2s2t2x + x2 = 0 + q2r2s2t2x + -1q2r2s2t2x
-1a + -1aqrst + -1aq2r2s2t2 + -1q2r2s2t2x + x2 = q2r2s2t2x + -1q2r2s2t2x

Combine like terms: q2r2s2t2x + -1q2r2s2t2x = 0
-1a + -1aqrst + -1aq2r2s2t2 + -1q2r2s2t2x + x2 = 0

The solution to this equation could not be determined.

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