16a^2+48a+27=

Solution for 16a^2+48a+27= equation:

Simplifying
16a2 + 48a + 27 = 0

Reorder the terms:
27 + 48a + 16a2 = 0

Solving
27 + 48a + 16a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(9 + 4a)(3 + 4a) = 0

Subproblem 1
Set the factor '(9 + 4a)' equal to zero and attempt to solve:

Simplifying
9 + 4a = 0

Solving
9 + 4a = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4a = 0 + -9
4a = 0 + -9

Combine like terms: 0 + -9 = -9
4a = -9

Divide each side by '4'.
a = -2.25

Simplifying
a = -2.25
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 = {-2.25, -0.75}