14a^2+27a+13=

Solution for 14a^2+27a+13= equation:

Simplifying
14a2 + 27a + 13 = 0

Reorder the terms:
13 + 27a + 14a2 = 0

Solving
13 + 27a + 14a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(1 + a)(13 + 14a) = 0

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

Simplifying
1 + a = 0

Solving
1 + a = 0

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

Add '-1' to each side of the equation.
1 + -1 + a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + a = 0 + -1
a = 0 + -1

Combine like terms: 0 + -1 = -1
a = -1

Simplifying
a = -1
Subproblem 2
Set the factor '(13 + 14a)' equal to zero and attempt to solve:

Simplifying
13 + 14a = 0

Solving
13 + 14a = 0

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

Add '-13' to each side of the equation.
13 + -13 + 14a = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 14a = 0 + -13
14a = 0 + -13

Combine like terms: 0 + -13 = -13
14a = -13

Divide each side by '14'.
a = -0.9285714286

Simplifying
a = -0.9285714286
Solution
a = {-1, -0.9285714286}