3a^2+25a+50=0

Solution for 3a^2+25a+50=0 equation:

Simplifying
3a2 + 25a + 50 = 0

Reorder the terms:
50 + 25a + 3a2 = 0

Solving
50 + 25a + 3a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(5 + a)(10 + 3a) = 0

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

Simplifying
5 + a = 0

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

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

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

Simplifying
a = -5
Subproblem 2
Set the factor '(10 + 3a)' equal to zero and attempt to solve:

Simplifying
10 + 3a = 0

Solving
10 + 3a = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3a = 0 + -10
3a = 0 + -10

Combine like terms: 0 + -10 = -10
3a = -10

Divide each side by '3'.
a = -3.333333333

Simplifying
a = -3.333333333
Solution
a = {-5, -3.333333333}