3a^2+40a+37=0

Solution for 3a^2+40a+37=0 equation:

Simplifying
3a2 + 40a + 37 = 0

Reorder the terms:
37 + 40a + 3a2 = 0

Solving
37 + 40a + 3a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(37 + 3a)(1 + a) = 0

Subproblem 1
Set the factor '(37 + 3a)' equal to zero and attempt to solve:

Simplifying
37 + 3a = 0

Solving
37 + 3a = 0

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

Add '-37' to each side of the equation.
37 + -37 + 3a = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 3a = 0 + -37
3a = 0 + -37

Combine like terms: 0 + -37 = -37
3a = -37

Divide each side by '3'.
a = -12.33333333

Simplifying
a = -12.33333333
Subproblem 2
Set the factor '(1 + a)' equal to zero and attempt to solve:

Simplifying
1 + a = 0

Solving
1 + a = 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 + a = 0 + -1

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

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

Simplifying
a = -1
Solution
a = {-12.33333333, -1}