(x+4)(x+3)=(x+1)

Solution for (x+4)(x+3)=(x+1) equation:

Simplifying
(x + 4)(x + 3) = (x + 1)

Reorder the terms:
(4 + x)(x + 3) = (x + 1)

Reorder the terms:
(4 + x)(3 + x) = (x + 1)

Multiply (4 + x) * (3 + x)
(4(3 + x) + x(3 + x)) = (x + 1)
((3 * 4 + x * 4) + x(3 + x)) = (x + 1)
((12 + 4x) + x(3 + x)) = (x + 1)
(12 + 4x + (3 * x + x * x)) = (x + 1)
(12 + 4x + (3x + x2)) = (x + 1)

Combine like terms: 4x + 3x = 7x
(12 + 7x + x2) = (x + 1)

Reorder the terms:
12 + 7x + x2 = (1 + x)

Remove parenthesis around (1 + x)
12 + 7x + x2 = 1 + x

Solving
12 + 7x + x2 = 1 + x

Solving for variable 'x'.

Reorder the terms:
12 + -1 + 7x + -1x + x2 = 1 + x + -1 + -1x

Combine like terms: 12 + -1 = 11
11 + 7x + -1x + x2 = 1 + x + -1 + -1x

Combine like terms: 7x + -1x = 6x
11 + 6x + x2 = 1 + x + -1 + -1x

Reorder the terms:
11 + 6x + x2 = 1 + -1 + x + -1x

Combine like terms: 1 + -1 = 0
11 + 6x + x2 = 0 + x + -1x
11 + 6x + x2 = x + -1x

Combine like terms: x + -1x = 0
11 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 6x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + 6x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 6x + x2 = 0 + -11
6x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
6x + x2 = -11

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 = -11 + 9

Reorder the terms:
9 + 6x + x2 = -11 + 9

Combine like terms: -11 + 9 = -2
9 + 6x + x2 = -2

Factor a perfect square on the left side:
(x + 3)(x + 3) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.