3a^2+32a+80=0

Solution for 3a^2+32a+80=0 equation:

Simplifying
3a2 + 32a + 80 = 0

Reorder the terms:
80 + 32a + 3a2 = 0

Solving
80 + 32a + 3a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(20 + 3a)(4 + a) = 0

Subproblem 1
Set the factor '(20 + 3a)' equal to zero and attempt to solve:

Simplifying
20 + 3a = 0

Solving
20 + 3a = 0

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

Add '-20' to each side of the equation.
20 + -20 + 3a = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 3a = 0 + -20
3a = 0 + -20

Combine like terms: 0 + -20 = -20
3a = -20

Divide each side by '3'.
a = -6.666666667

Simplifying
a = -6.666666667
Subproblem 2
Set the factor '(4 + a)' equal to zero and attempt to solve:

Simplifying
4 + a = 0

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

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

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

Simplifying
a = -4
Solution
a = {-6.666666667, -4}