25a^2+85a+72=0

Solution for 25a^2+85a+72=0 equation:

Simplifying
25a2 + 85a + 72 = 0

Reorder the terms:
72 + 85a + 25a2 = 0

Solving
72 + 85a + 25a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(9 + 5a)(8 + 5a) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + 5a)' equal to zero and attempt to solve:

Simplifying
8 + 5a = 0

Solving
8 + 5a = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5a = 0 + -8
5a = 0 + -8

Combine like terms: 0 + -8 = -8
5a = -8

Divide each side by '5'.
a = -1.6

Simplifying
a = -1.6
Solution
a = {-1.8, -1.6}