(x+2)(x+1)=x

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

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

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

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

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

Combine like terms: 2x + 1x = 3x
(2 + 3x + x2) = x

Solving
2 + 3x + x2 = x

Solving for variable 'x'.

Reorder the terms:
2 + 3x + -1x + x2 = x + -1x

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

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

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 2x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 2x + x2 = 0 + -2

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

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

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -2 + 1

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

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

Factor a perfect square on the left side:
(x + 1)(x + 1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.