-x+7=-x^2-2x-1

Solution for -x+7=-x^2-2x-1 equation:

Simplifying
-1x + 7 = -1x2 + -2x + -1

Reorder the terms:
7 + -1x = -1x2 + -2x + -1

Reorder the terms:
7 + -1x = -1 + -2x + -1x2

Solving
7 + -1x = -1 + -2x + -1x2

Solving for variable 'x'.

Reorder the terms:
7 + 1 + -1x + 2x + x2 = -1 + -2x + -1x2 + 1 + 2x + x2

Combine like terms: 7 + 1 = 8
8 + -1x + 2x + x2 = -1 + -2x + -1x2 + 1 + 2x + x2

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

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

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

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

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

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

Combine like terms: -8 + 0.25 = -7.75
0.25 + x + 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.