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

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

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

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

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

Multiply (8 + x) * (-1 + x)
(8(-1 + x) + x(-1 + x)) = (x + 2)
((-1 * 8 + x * 8) + x(-1 + x)) = (x + 2)
((-8 + 8x) + x(-1 + x)) = (x + 2)
(-8 + 8x + (-1 * x + x * x)) = (x + 2)
(-8 + 8x + (-1x + x2)) = (x + 2)

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

Reorder the terms:
-8 + 7x + x2 = (2 + x)

Remove parenthesis around (2 + x)
-8 + 7x + x2 = 2 + x

Solving
-8 + 7x + x2 = 2 + x

Solving for variable 'x'.

Reorder the terms:
-8 + -2 + 7x + -1x + x2 = 2 + x + -2 + -1x

Combine like terms: -8 + -2 = -10
-10 + 7x + -1x + x2 = 2 + x + -2 + -1x

Combine like terms: 7x + -1x = 6x
-10 + 6x + x2 = 2 + x + -2 + -1x

Reorder the terms:
-10 + 6x + x2 = 2 + -2 + x + -1x

Combine like terms: 2 + -2 = 0
-10 + 6x + x2 = 0 + x + -1x
-10 + 6x + x2 = x + -1x

Combine like terms: x + -1x = 0
-10 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + 6x + 10 + x2 = 0 + 10

Reorder the terms:
-10 + 10 + 6x + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 6x + x2 = 0 + 10
6x + x2 = 0 + 10

Combine like terms: 0 + 10 = 10
6x + x2 = 10

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = 10 + 9

Reorder the terms:
9 + 6x + x2 = 10 + 9

Combine like terms: 10 + 9 = 19
9 + 6x + x2 = 19

Factor a perfect square on the left side:
(x + 3)(x + 3) = 19

Calculate the square root of the right side: 4.358898944

Break this problem into two subproblems by setting 
(x + 3) equal to 4.358898944 and -4.358898944.

Subproblem 1
x + 3 = 4.358898944

Simplifying
x + 3 = 4.358898944

Reorder the terms:
3 + x = 4.358898944

Solving
3 + x = 4.358898944

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + x = 4.358898944 + -3

Combine like terms: 3 + -3 = 0
0 + x = 4.358898944 + -3
x = 4.358898944 + -3

Combine like terms: 4.358898944 + -3 = 1.358898944
x = 1.358898944

Simplifying
x = 1.358898944

Subproblem 2
x + 3 = -4.358898944

Simplifying
x + 3 = -4.358898944

Reorder the terms:
3 + x = -4.358898944

Solving
3 + x = -4.358898944

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + x = -4.358898944 + -3

Combine like terms: 3 + -3 = 0
0 + x = -4.358898944 + -3
x = -4.358898944 + -3

Combine like terms: -4.358898944 + -3 = -7.358898944
x = -7.358898944

Simplifying
x = -7.358898944

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.358898944, -7.358898944}