(x+6)(5+2x)=0

Solution for (x+6)(5+2x)=0 equation:

Simplifying
(x + 6)(5 + 2x) = 0

Reorder the terms:
(6 + x)(5 + 2x) = 0

Multiply (6 + x) * (5 + 2x)
(6(5 + 2x) + x(5 + 2x)) = 0
((5 * 6 + 2x * 6) + x(5 + 2x)) = 0
((30 + 12x) + x(5 + 2x)) = 0
(30 + 12x + (5 * x + 2x * x)) = 0
(30 + 12x + (5x + 2x2)) = 0

Combine like terms: 12x + 5x = 17x
(30 + 17x + 2x2) = 0

Solving
30 + 17x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + x)(5 + 2x) = 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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {-6, -2.5}