x(x+5)+3(x+5)=

Solution for x(x+5)+3(x+5)= equation:

Simplifying
x(x + 5) + 3(x + 5) = 0

Reorder the terms:
x(5 + x) + 3(x + 5) = 0
(5 * x + x * x) + 3(x + 5) = 0
(5x + x2) + 3(x + 5) = 0

Reorder the terms:
5x + x2 + 3(5 + x) = 0
5x + x2 + (5 * 3 + x * 3) = 0
5x + x2 + (15 + 3x) = 0

Reorder the terms:
15 + 5x + 3x + x2 = 0

Combine like terms: 5x + 3x = 8x
15 + 8x + x2 = 0

Solving
15 + 8x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + x)(3 + 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 '(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 = {-5, -3}