(x+2)(x+4)=3

Solution for (x+2)(x+4)=3 equation:

Simplifying
(x + 2)(x + 4) = 3

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

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

Multiply (2 + x) * (4 + x)
(2(4 + x) + x(4 + x)) = 3
((4 * 2 + x * 2) + x(4 + x)) = 3
((8 + 2x) + x(4 + x)) = 3
(8 + 2x + (4 * x + x * x)) = 3
(8 + 2x + (4x + x2)) = 3

Combine like terms: 2x + 4x = 6x
(8 + 6x + x2) = 3

Solving
8 + 6x + x2 = 3

Solving for variable 'x'.

Reorder the terms:
8 + -3 + 6x + x2 = 3 + -3

Combine like terms: 8 + -3 = 5
5 + 6x + x2 = 3 + -3

Combine like terms: 3 + -3 = 0
5 + 6x + x2 = 0

Factor a trinomial.
(5 + x)(1 + x) = 0

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-5, -1}