30a^2+25a+36a+30=

Solution for 30a^2+25a+36a+30= equation:

Simplifying
30a2 + 25a + 36a + 30 = 0

Reorder the terms:
30 + 25a + 36a + 30a2 = 0

Combine like terms: 25a + 36a = 61a
30 + 61a + 30a2 = 0

Solving
30 + 61a + 30a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(6 + 5a)(5 + 6a) = 0

Subproblem 1
Set the factor '(6 + 5a)' equal to zero and attempt to solve:

Simplifying
6 + 5a = 0

Solving
6 + 5a = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5a = 0 + -6
5a = 0 + -6

Combine like terms: 0 + -6 = -6
5a = -6

Divide each side by '5'.
a = -1.2

Simplifying
a = -1.2
Subproblem 2
Set the factor '(5 + 6a)' equal to zero and attempt to solve:

Simplifying
5 + 6a = 0

Solving
5 + 6a = 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 + 6a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6a = 0 + -5
6a = 0 + -5

Combine like terms: 0 + -5 = -5
6a = -5

Divide each side by '6'.
a = -0.8333333333

Simplifying
a = -0.8333333333
Solution
a = {-1.2, -0.8333333333}