36a^2+12a+1=0

Solution for 36a^2+12a+1=0 equation:

Simplifying
36a2 + 12a + 1 = 0

Reorder the terms:
1 + 12a + 36a2 = 0

Solving
1 + 12a + 36a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(1 + 6a)(1 + 6a) = 0

Subproblem 1
Set the factor '(1 + 6a)' equal to zero and attempt to solve:

Simplifying
1 + 6a = 0

Solving
1 + 6a = 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 + 6a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6a = 0 + -1
6a = 0 + -1

Combine like terms: 0 + -1 = -1
6a = -1

Divide each side by '6'.
a = -0.1666666667

Simplifying
a = -0.1666666667
Subproblem 2
Set the factor '(1 + 6a)' equal to zero and attempt to solve:

Simplifying
1 + 6a = 0

Solving
1 + 6a = 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 + 6a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6a = 0 + -1
6a = 0 + -1

Combine like terms: 0 + -1 = -1
6a = -1

Divide each side by '6'.
a = -0.1666666667

Simplifying
a = -0.1666666667
Solution
a = {-0.1666666667, -0.1666666667}