10+x^2=x+2

Solution for 10+x^2=x+2 equation:

Simplifying
10 + x2 = x + 2

Reorder the terms:
10 + x2 = 2 + x

Solving
10 + x2 = 2 + x

Solving for variable 'x'.

Reorder the terms:
10 + -2 + -1x + x2 = 2 + x + -2 + -1x

Combine like terms: 10 + -2 = 8
8 + -1x + x2 = 2 + x + -2 + -1x

Reorder the terms:
8 + -1x + x2 = 2 + -2 + x + -1x

Combine like terms: 2 + -2 = 0
8 + -1x + x2 = 0 + x + -1x
8 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
8 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -1x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -1x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x + x2 = 0 + -8
-1x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x + x2 = -8

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

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -8 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -8 + 0.25

Combine like terms: -8 + 0.25 = -7.75
0.25 + -1x + x2 = -7.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.