15a^2+22a+8=0

Solution for 15a^2+22a+8=0 equation:

Simplifying
15a2 + 22a + 8 = 0

Reorder the terms:
8 + 22a + 15a2 = 0

Solving
8 + 22a + 15a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(4 + 5a)(2 + 3a) = 0

Subproblem 1
Set the factor '(4 + 5a)' equal to zero and attempt to solve:

Simplifying
4 + 5a = 0

Solving
4 + 5a = 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 + 5a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5a = 0 + -4
5a = 0 + -4

Combine like terms: 0 + -4 = -4
5a = -4

Divide each side by '5'.
a = -0.8

Simplifying
a = -0.8
Subproblem 2
Set the factor '(2 + 3a)' equal to zero and attempt to solve:

Simplifying
2 + 3a = 0

Solving
2 + 3a = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3a = 0 + -2
3a = 0 + -2

Combine like terms: 0 + -2 = -2
3a = -2

Divide each side by '3'.
a = -0.6666666667

Simplifying
a = -0.6666666667
Solution
a = {-0.8, -0.6666666667}