(x+4)(x+0)=0

Solution for (x+4)(x+0)=0 equation:

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

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

Reorder the terms:
(4 + x)(0 + x) = 0
Remove the zero:
(4 + x)(x) = 0

Reorder the terms for easier multiplication:
x(4 + x) = 0
(4 * x + x * x) = 0
(4x + x2) = 0

Solving
4x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
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
Solution
x = {0, -4}