3+35a=12a^2

Solution for 3+35a=12a^2 equation:

Simplifying
3 + 35a = 12a2

Solving
3 + 35a = 12a2

Solving for variable 'a'.

Combine like terms: 12a2 + -12a2 = 0
3 + 35a + -12a2 = 0

Factor a trinomial.
(3 + -1a)(1 + 12a) = 0

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

Simplifying
3 + -1a = 0

Solving
3 + -1a = 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 + -1a = 0 + -3

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

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

Divide each side by '-1'.
a = 3

Simplifying
a = 3
Subproblem 2
Set the factor '(1 + 12a)' equal to zero and attempt to solve:

Simplifying
1 + 12a = 0

Solving
1 + 12a = 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 + 12a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 12a = 0 + -1
12a = 0 + -1

Combine like terms: 0 + -1 = -1
12a = -1

Divide each side by '12'.
a = -0.08333333333

Simplifying
a = -0.08333333333
Solution
a = {3, -0.08333333333}