-1(x)=x^2-2x+8

Solution for -1(x)=x^2-2x+8 equation:

Simplifying
-1(x) = x2 + -2x + 8

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

Solving
-1x = 8 + -2x + x2

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-1'.
8 + -1x + x2 = 0

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.