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

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

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

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

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

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

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

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

Solving
2 + x = -1 + x2

Solving for variable 'x'.

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

Combine like terms: 2 + 1 = 3
3 + x + -1x2 = -1 + x2 + 1 + -1x2

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

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

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

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

Divide each side by '-1'.
-3 + -1x + x2 = 0

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + -1x + 3 + x2 = 0 + 3

Reorder the terms:
-3 + 3 + -1x + x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x + x2 = 0 + 3
-1x + x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-1x + x2 = 3

The x term is x.  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 = 3 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 3 + 0.25

Combine like terms: 3 + 0.25 = 3.25
0.25 + -1x + x2 = 3.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 3.25

Calculate the square root of the right side: 1.802775638

Break this problem into two subproblems by setting 
(x + 0.5) equal to 1.802775638 and -1.802775638.

Subproblem 1
x + 0.5 = 1.802775638

Simplifying
x + 0.5 = 1.802775638

Reorder the terms:
0.5 + x = 1.802775638

Solving
0.5 + x = 1.802775638

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 1.802775638 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 1.802775638 + -0.5
x = 1.802775638 + -0.5

Combine like terms: 1.802775638 + -0.5 = 1.302775638
x = 1.302775638

Simplifying
x = 1.302775638

Subproblem 2
x + 0.5 = -1.802775638

Simplifying
x + 0.5 = -1.802775638

Reorder the terms:
0.5 + x = -1.802775638

Solving
0.5 + x = -1.802775638

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -1.802775638 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -1.802775638 + -0.5
x = -1.802775638 + -0.5

Combine like terms: -1.802775638 + -0.5 = -2.302775638
x = -2.302775638

Simplifying
x = -2.302775638

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.302775638, -2.302775638}