x(x+4)+8(x+5)=4

Solution for x(x+4)+8(x+5)=4 equation:

Simplifying
x(x + 4) + 8(x + 5) = 4

Reorder the terms:
x(4 + x) + 8(x + 5) = 4
(4 * x + x * x) + 8(x + 5) = 4
(4x + x2) + 8(x + 5) = 4

Reorder the terms:
4x + x2 + 8(5 + x) = 4
4x + x2 + (5 * 8 + x * 8) = 4
4x + x2 + (40 + 8x) = 4

Reorder the terms:
40 + 4x + 8x + x2 = 4

Combine like terms: 4x + 8x = 12x
40 + 12x + x2 = 4

Solving
40 + 12x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
40 + -4 + 12x + x2 = 4 + -4

Combine like terms: 40 + -4 = 36
36 + 12x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
36 + 12x + x2 = 0

Factor a trinomial.
(6 + x)(6 + x) = 0

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-6, -6}