14a^2+11a=-2

Solution for 14a^2+11a=-2 equation:

Simplifying
14a2 + 11a = -2

Reorder the terms:
11a + 14a2 = -2

Solving
11a + 14a2 = -2

Solving for variable 'a'.

Reorder the terms:
2 + 11a + 14a2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 11a + 14a2 = 0

Factor a trinomial.
(1 + 2a)(2 + 7a) = 0

Subproblem 1
Set the factor '(1 + 2a)' equal to zero and attempt to solve:

Simplifying
1 + 2a = 0

Solving
1 + 2a = 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 + 2a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2a = 0 + -1
2a = 0 + -1

Combine like terms: 0 + -1 = -1
2a = -1

Divide each side by '2'.
a = -0.5

Simplifying
a = -0.5
Subproblem 2
Set the factor '(2 + 7a)' equal to zero and attempt to solve:

Simplifying
2 + 7a = 0

Solving
2 + 7a = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7a = 0 + -2
7a = 0 + -2

Combine like terms: 0 + -2 = -2
7a = -2

Divide each side by '7'.
a = -0.2857142857

Simplifying
a = -0.2857142857
Solution
a = {-0.5, -0.2857142857}