15a^2+17a+4=0

Solution for 15a^2+17a+4=0 equation:

Simplifying
15a2 + 17a + 4 = 0

Reorder the terms:
4 + 17a + 15a2 = 0

Solving
4 + 17a + 15a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(4 + 5a)(1 + 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 '(1 + 3a)' equal to zero and attempt to solve:

Simplifying
1 + 3a = 0

Solving
1 + 3a = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3a = 0 + -1
3a = 0 + -1

Combine like terms: 0 + -1 = -1
3a = -1

Divide each side by '3'.
a = -0.3333333333

Simplifying
a = -0.3333333333
Solution
a = {-0.8, -0.3333333333}