[x+4][x+3]=

Solution for [x+4][x+3]= equation:

Simplifying
[x + 4][x + 3] = 0

Reorder the terms:
[4 + x][x + 3] = 0

Reorder the terms:
[4 + x][3 + x] = 0

Multiply [4 + x] * [3 + x]
[4[3 + x] + x[3 + x]] = 0
[[3 * 4 + x * 4] + x[3 + x]] = 0
[[12 + 4x] + x[3 + x]] = 0
[12 + 4x + [3 * x + x * x]] = 0
[12 + 4x + [3x + x2]] = 0

Combine like terms: 4x + 3x = 7x
[12 + 7x + x2] = 0

Solving
12 + 7x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + x)(3 + 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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Simplifying
x = -3
Solution
x = {-4, -3}