20a^2+37a+15=

Solution for 20a^2+37a+15= equation:

Simplifying
20a2 + 37a + 15 = 0

Reorder the terms:
15 + 37a + 20a2 = 0

Solving
15 + 37a + 20a2 = 0

Solving for variable 'a'.

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

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

Simplifying
5 + 4a = 0

Solving
5 + 4a = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4a = 0 + -5

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

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

Divide each side by '4'.
a = -1.25

Simplifying
a = -1.25
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 = {-1.25, -0.6}