(12a+4)(3a-1)=0

Solution for (12a+4)(3a-1)=0 equation:

Simplifying
(12a + 4)(3a + -1) = 0

Reorder the terms:
(4 + 12a)(3a + -1) = 0

Reorder the terms:
(4 + 12a)(-1 + 3a) = 0

Multiply (4 + 12a) * (-1 + 3a)
(4(-1 + 3a) + 12a * (-1 + 3a)) = 0
((-1 * 4 + 3a * 4) + 12a * (-1 + 3a)) = 0
((-4 + 12a) + 12a * (-1 + 3a)) = 0
(-4 + 12a + (-1 * 12a + 3a * 12a)) = 0
(-4 + 12a + (-12a + 36a2)) = 0

Combine like terms: 12a + -12a = 0
(-4 + 0 + 36a2) = 0
(-4 + 36a2) = 0

Solving
-4 + 36a2 = 0

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + 36a2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 36a2 = 0 + 4
36a2 = 0 + 4

Combine like terms: 0 + 4 = 4
36a2 = 4

Divide each side by '36'.
a2 = 0.1111111111

Simplifying
a2 = 0.1111111111

Take the square root of each side:
a = {-0.333333333, 0.333333333}