25a^2+60a+27=0

Solution for 25a^2+60a+27=0 equation:

Simplifying
25a2 + 60a + 27 = 0

Reorder the terms:
27 + 60a + 25a2 = 0

Solving
27 + 60a + 25a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(9 + 5a)(3 + 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 '(3 + 5a)' equal to zero and attempt to solve:

Simplifying
3 + 5a = 0

Solving
3 + 5a = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5a = 0 + -3
5a = 0 + -3

Combine like terms: 0 + -3 = -3
5a = -3

Divide each side by '5'.
a = -0.6

Simplifying
a = -0.6
Solution
a = {-1.8, -0.6}