9c^2+6c+1=0

Solution for 9c^2+6c+1=0 equation:

Simplifying
9c2 + 6c + 1 = 0

Reorder the terms:
1 + 6c + 9c2 = 0

Solving
1 + 6c + 9c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(1 + 3c)(1 + 3c) = 0

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

Simplifying
1 + 3c = 0

Solving
1 + 3c = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3c = 0 + -1
3c = 0 + -1

Combine like terms: 0 + -1 = -1
3c = -1

Divide each side by '3'.
c = -0.3333333333

Simplifying
c = -0.3333333333
Subproblem 2
Set the factor '(1 + 3c)' equal to zero and attempt to solve:

Simplifying
1 + 3c = 0

Solving
1 + 3c = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3c = 0 + -1
3c = 0 + -1

Combine like terms: 0 + -1 = -1
3c = -1

Divide each side by '3'.
c = -0.3333333333

Simplifying
c = -0.3333333333
Solution
c = {-0.3333333333, -0.3333333333}