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

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

Simplifying
(x + 4)(x + 2) = 0

Reorder the terms:
(4 + x)(x + 2) = 0

Reorder the terms:
(4 + x)(2 + x) = 0

Multiply (4 + x) * (2 + x)
(4(2 + x) + x(2 + x)) = 0
((2 * 4 + x * 4) + x(2 + x)) = 0
((8 + 4x) + x(2 + x)) = 0
(8 + 4x + (2 * x + x * x)) = 0
(8 + 4x + (2x + x2)) = 0

Combine like terms: 4x + 2x = 6x
(8 + 6x + x2) = 0

Solving
8 + 6x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + x)(2 + x) = 0

Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {-4, -2}