x=x^2+5-x

Solution for x=x^2+5-x equation:

Simplifying
x = x2 + 5 + -1x

Reorder the terms:
x = 5 + -1x + x2

Solving
x = 5 + -1x + x2

Solving for variable 'x'.

Reorder the terms:
-5 + x + x + -1x2 = 5 + -1x + x2 + -5 + x + -1x2

Combine like terms: x + x = 2x
-5 + 2x + -1x2 = 5 + -1x + x2 + -5 + x + -1x2

Reorder the terms:
-5 + 2x + -1x2 = 5 + -5 + -1x + x + x2 + -1x2

Combine like terms: 5 + -5 = 0
-5 + 2x + -1x2 = 0 + -1x + x + x2 + -1x2
-5 + 2x + -1x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
-5 + 2x + -1x2 = 0 + x2 + -1x2
-5 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 + 2x + -1x2 = 0

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

Divide each side by '-1'.
5 + -2x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -2x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -2x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x + x2 = 0 + -5
-2x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2x + x2 = -5

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -5 + 1

Reorder the terms:
1 + -2x + x2 = -5 + 1

Combine like terms: -5 + 1 = -4
1 + -2x + x2 = -4

Factor a perfect square on the left side:
(x + -1)(x + -1) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.