5a^2+29a+36=0

Solution for 5a^2+29a+36=0 equation:

Simplifying
5a2 + 29a + 36 = 0

Reorder the terms:
36 + 29a + 5a2 = 0

Solving
36 + 29a + 5a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(4 + a)(9 + 5a) = 0

Subproblem 1
Set the factor '(4 + a)' equal to zero and attempt to solve:

Simplifying
4 + a = 0

Solving
4 + a = 0

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

Add '-4' to each side of the equation.
4 + -4 + a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + a = 0 + -4
a = 0 + -4

Combine like terms: 0 + -4 = -4
a = -4

Simplifying
a = -4
Subproblem 2
Set the factor '(9 + 5a)' equal to zero and attempt to solve:

Simplifying
9 + 5a = 0

Solving
9 + 5a = 0

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

Add '-9' to each side of the equation.
9 + -9 + 5a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5a = 0 + -9
5a = 0 + -9

Combine like terms: 0 + -9 = -9
5a = -9

Divide each side by '5'.
a = -1.8

Simplifying
a = -1.8
Solution
a = {-4, -1.8}