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

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

Simplifying
x + 2 = (sqrt(2x2) + -1x + -2)

Reorder the terms:
2 + x = (sqrt(2x2) + -1x + -2)

Remove parenthesis around (2x2)
2 + x = (qrst * 2x2 + -1x + -2)

Reorder the terms for easier multiplication:
2 + x = (2qrst * x2 + -1x + -2)

Multiply qrst * x2
2 + x = (2qrstx2 + -1x + -2)

Reorder the terms:
2 + x = (-2 + 2qrstx2 + -1x)

Remove parenthesis around (-2 + 2qrstx2 + -1x)
2 + x = -2 + 2qrstx2 + -1x

Solving
2 + x = -2 + 2qrstx2 + -1x

Solving for variable 'x'.

Reorder the terms:
2 + 2 + -2qrstx2 + x + x = -2 + 2qrstx2 + -1x + 2 + -2qrstx2 + x

Combine like terms: 2 + 2 = 4
4 + -2qrstx2 + x + x = -2 + 2qrstx2 + -1x + 2 + -2qrstx2 + x

Combine like terms: x + x = 2x
4 + -2qrstx2 + 2x = -2 + 2qrstx2 + -1x + 2 + -2qrstx2 + x

Reorder the terms:
4 + -2qrstx2 + 2x = -2 + 2 + 2qrstx2 + -2qrstx2 + -1x + x

Combine like terms: -2 + 2 = 0
4 + -2qrstx2 + 2x = 0 + 2qrstx2 + -2qrstx2 + -1x + x
4 + -2qrstx2 + 2x = 2qrstx2 + -2qrstx2 + -1x + x

Combine like terms: 2qrstx2 + -2qrstx2 = 0
4 + -2qrstx2 + 2x = 0 + -1x + x
4 + -2qrstx2 + 2x = -1x + x

Combine like terms: -1x + x = 0
4 + -2qrstx2 + 2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -1qrstx2 + x) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(2 + -1qrstx2 + x)' equal to zero and attempt to solve:

Simplifying
2 + -1qrstx2 + x = 0

Solving
2 + -1qrstx2 + x = 0

Begin completing the square.  Divide all terms by
-1qrst the coefficient of the squared term: 

Divide each side by '-1qrst'.
-2q-1r-1s-1t-1 + x2 + -1q-1r-1s-1t-1x = 0q-1r-1s-1t-1

Move the constant term to the right:

Add '2' to each side of the equation.
-2q-1r-1s-1t-1 + x2 + 2 + -1q-1r-1s-1t-1x = 2 + 0q-1r-1s-1t-1

Reorder the terms:
2 + -2q-1r-1s-1t-1 + -1q-1r-1s-1t-1x + x2 = 2 + 0q-1r-1s-1t-1

Combine like terms: 2 + 0 = 2
2 + -2q-1r-1s-1t-1 + -1q-1r-1s-1t-1x + x2 = 2

The x term is q-1r-1s-1t-1x.  Take half its coefficient (0.5q-1r-1s-1t-1).
Square it (0.25q-2r-2s-2t-2) and add it to both sides.

Add '0.25q-2r-2s-2t-2' to each side of the equation.
2 + -2q-1r-1s-1t-1 + -1q-1r-1s-1t-1x + 0.25q-2r-2s-2t-2 + x2 = 2 + 0.25q-2r-2s-2t-2

Reorder the terms:
2 + 0.25q-2r-2s-2t-2 + -2q-1r-1s-1t-1 + -1q-1r-1s-1t-1x + x2 = 2 + 0.25q-2r-2s-2t-2

Factor a perfect square on the left side:
(x + 0.5q-1r-1s-1t-1)(x + 0.5q-1r-1s-1t-1) = 2 + 0.25q-2r-2s-2t-2

Can't calculate square root of the right side.

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.