sqrt(x-2*sqrt(x-1))+1=2sqrt(2sqrt(-1+x)+x)

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Solution for sqrt(x-2*sqrt(x-1))+1=2sqrt(2sqrt(-1+x)+x) equation: 


Simplifying
sqrt(x + -2sqrt(x + -1)) + 1 = 2sqrt(2sqrt(-1 + x) + x)

Reorder the terms:
qrst(x + -2qrst(-1 + x)) + 1 = 2sqrt(2sqrt(-1 + x) + x)
qrst(x + (-1 * -2qrst + x * -2qrst)) + 1 = 2sqrt(2sqrt(-1 + x) + x)
qrst(x + (2qrst + -2qrstx)) + 1 = 2sqrt(2sqrt(-1 + x) + x)

Reorder the terms:
qrst(2qrst + -2qrstx + x) + 1 = 2sqrt(2sqrt(-1 + x) + x)
(2qrst * qrst + -2qrstx * qrst + x * qrst) + 1 = 2sqrt(2sqrt(-1 + x) + x)

Reorder the terms:
(qrstx + 2q2r2s2t2 + -2q2r2s2t2x) + 1 = 2sqrt(2sqrt(-1 + x) + x)
(qrstx + 2q2r2s2t2 + -2q2r2s2t2x) + 1 = 2sqrt(2sqrt(-1 + x) + x)

Reorder the terms:
1 + qrstx + 2q2r2s2t2 + -2q2r2s2t2x = 2sqrt(2sqrt(-1 + x) + x)
1 + qrstx + 2q2r2s2t2 + -2q2r2s2t2x = 2qrst((-1 * 2qrst + x * 2qrst) + x)
1 + qrstx + 2q2r2s2t2 + -2q2r2s2t2x = 2qrst((-2qrst + 2qrstx) + x)
1 + qrstx + 2q2r2s2t2 + -2q2r2s2t2x = (-2qrst * 2qrst + 2qrstx * 2qrst + x * 2qrst)

Reorder the terms:
1 + qrstx + 2q2r2s2t2 + -2q2r2s2t2x = (2qrstx + -4q2r2s2t2 + 4q2r2s2t2x)
1 + qrstx + 2q2r2s2t2 + -2q2r2s2t2x = (2qrstx + -4q2r2s2t2 + 4q2r2s2t2x)

Solving
1 + qrstx + 2q2r2s2t2 + -2q2r2s2t2x = 2qrstx + -4q2r2s2t2 + 4q2r2s2t2x

Solving for variable 'q'.

Reorder the terms:
1 + qrstx + -2qrstx + 2q2r2s2t2 + 4q2r2s2t2 + -2q2r2s2t2x + -4q2r2s2t2x = 2qrstx + -4q2r2s2t2 + 4q2r2s2t2x + -2qrstx + 4q2r2s2t2 + -4q2r2s2t2x

Combine like terms: qrstx + -2qrstx = -1qrstx
1 + -1qrstx + 2q2r2s2t2 + 4q2r2s2t2 + -2q2r2s2t2x + -4q2r2s2t2x = 2qrstx + -4q2r2s2t2 + 4q2r2s2t2x + -2qrstx + 4q2r2s2t2 + -4q2r2s2t2x

Combine like terms: 2q2r2s2t2 + 4q2r2s2t2 = 6q2r2s2t2
1 + -1qrstx + 6q2r2s2t2 + -2q2r2s2t2x + -4q2r2s2t2x = 2qrstx + -4q2r2s2t2 + 4q2r2s2t2x + -2qrstx + 4q2r2s2t2 + -4q2r2s2t2x

Combine like terms: -2q2r2s2t2x + -4q2r2s2t2x = -6q2r2s2t2x
1 + -1qrstx + 6q2r2s2t2 + -6q2r2s2t2x = 2qrstx + -4q2r2s2t2 + 4q2r2s2t2x + -2qrstx + 4q2r2s2t2 + -4q2r2s2t2x

Reorder the terms:
1 + -1qrstx + 6q2r2s2t2 + -6q2r2s2t2x = 2qrstx + -2qrstx + -4q2r2s2t2 + 4q2r2s2t2 + 4q2r2s2t2x + -4q2r2s2t2x

Combine like terms: 2qrstx + -2qrstx = 0
1 + -1qrstx + 6q2r2s2t2 + -6q2r2s2t2x = 0 + -4q2r2s2t2 + 4q2r2s2t2 + 4q2r2s2t2x + -4q2r2s2t2x
1 + -1qrstx + 6q2r2s2t2 + -6q2r2s2t2x = -4q2r2s2t2 + 4q2r2s2t2 + 4q2r2s2t2x + -4q2r2s2t2x

Combine like terms: -4q2r2s2t2 + 4q2r2s2t2 = 0
1 + -1qrstx + 6q2r2s2t2 + -6q2r2s2t2x = 0 + 4q2r2s2t2x + -4q2r2s2t2x
1 + -1qrstx + 6q2r2s2t2 + -6q2r2s2t2x = 4q2r2s2t2x + -4q2r2s2t2x

Combine like terms: 4q2r2s2t2x + -4q2r2s2t2x = 0
1 + -1qrstx + 6q2r2s2t2 + -6q2r2s2t2x = 0

The solution to this equation could not be determined.

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