Sqrt(2-sqrt(x))=sqrt(x)

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Solution for Sqrt(2-sqrt(x))=sqrt(x) equation: 


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

Multiply qrst * x
qrtS(2 + -1qrstx) = sqrt(x)
(2 * qrtS + -1qrstx * qrtS) = sqrt(x)
(2qrtS + -1q2r2st2xS) = sqrt(x)

Multiply qrst * x
2qrtS + -1q2r2st2xS = qrstx

Solving
2qrtS + -1q2r2st2xS = qrstx

Solving for variable 'q'.

Reorder the terms:
-1qrstx + 2qrtS + -1q2r2st2xS = qrstx + -1qrstx

Combine like terms: qrstx + -1qrstx = 0
-1qrstx + 2qrtS + -1q2r2st2xS = 0

Factor out the Greatest Common Factor (GCF), 'qrt'.
qrt(-1sx + 2S + -1qrstxS) = 0


Subproblem 1
Set the factor 'qrt' equal to zero and attempt to solve:

Simplifying
qrt = 0

Solving
qrt = 0

Move all terms containing q to the left, all other terms to the right.

Simplifying
qrt = 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 '(-1sx + 2S + -1qrstxS)' equal to zero and attempt to solve:

Simplifying
-1sx + 2S + -1qrstxS = 0

Reorder the terms:
2S + -1qrstxS + -1sx = 0

Solving
2S + -1qrstxS + -1sx = 0

Move all terms containing q to the left, all other terms to the right.

Add '-2S' to each side of the equation.
2S + -1qrstxS + -2S + -1sx = 0 + -2S

Reorder the terms:
2S + -2S + -1qrstxS + -1sx = 0 + -2S

Combine like terms: 2S + -2S = 0
0 + -1qrstxS + -1sx = 0 + -2S
-1qrstxS + -1sx = 0 + -2S
Remove the zero:
-1qrstxS + -1sx = -2S

Add 'sx' to each side of the equation.
-1qrstxS + -1sx + sx = -2S + sx

Combine like terms: -1sx + sx = 0
-1qrstxS + 0 = -2S + sx
-1qrstxS = -2S + sx

Divide each side by '-1rstxS'.
q = 2r-1s-1t-1x-1 + -1r-1t-1S-1

Simplifying
q = 2r-1s-1t-1x-1 + -1r-1t-1S-1
Solution
q = {2r-1s-1t-1x-1 + -1r-1t-1S-1}

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