(x+4)x+(x+4)5=

Solution for (x+4)x+(x+4)5= equation:

Simplifying
(x + 4) * x + (x + 4) * 5 = 0

Reorder the terms:
(4 + x) * x + (x + 4) * 5 = 0

Reorder the terms for easier multiplication:
x(4 + x) + (x + 4) * 5 = 0
(4 * x + x * x) + (x + 4) * 5 = 0
(4x + x2) + (x + 4) * 5 = 0

Reorder the terms:
4x + x2 + (4 + x) * 5 = 0

Reorder the terms for easier multiplication:
4x + x2 + 5(4 + x) = 0
4x + x2 + (4 * 5 + x * 5) = 0
4x + x2 + (20 + 5x) = 0

Reorder the terms:
20 + 4x + 5x + x2 = 0

Combine like terms: 4x + 5x = 9x
20 + 9x + x2 = 0

Solving
20 + 9x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + x)(4 + 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 '(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 = {-5, -4}