12a^2+9a+16a+12=

Solution for 12a^2+9a+16a+12= equation:

Simplifying
12a2 + 9a + 16a + 12 = 0

Reorder the terms:
12 + 9a + 16a + 12a2 = 0

Combine like terms: 9a + 16a = 25a
12 + 25a + 12a2 = 0

Solving
12 + 25a + 12a2 = 0

Solving for variable 'a'.

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

Subproblem 1
Set the factor '(4 + 3a)' equal to zero and attempt to solve:

Simplifying
4 + 3a = 0

Solving
4 + 3a = 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 + 3a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3a = 0 + -4
3a = 0 + -4

Combine like terms: 0 + -4 = -4
3a = -4

Divide each side by '3'.
a = -1.333333333

Simplifying
a = -1.333333333
Subproblem 2
Set the factor '(3 + 4a)' equal to zero and attempt to solve:

Simplifying
3 + 4a = 0

Solving
3 + 4a = 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 + 4a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4a = 0 + -3
4a = 0 + -3

Combine like terms: 0 + -3 = -3
4a = -3

Divide each side by '4'.
a = -0.75

Simplifying
a = -0.75
Solution
a = {-1.333333333, -0.75}