6(3a+1)(3a-1)=0

Solution for 6(3a+1)(3a-1)=0 equation:

Simplifying
6(3a + 1)(3a + -1) = 0

Reorder the terms:
6(1 + 3a)(3a + -1) = 0

Reorder the terms:
6(1 + 3a)(-1 + 3a) = 0

Multiply (1 + 3a) * (-1 + 3a)
6(1(-1 + 3a) + 3a * (-1 + 3a)) = 0
6((-1 * 1 + 3a * 1) + 3a * (-1 + 3a)) = 0
6((-1 + 3a) + 3a * (-1 + 3a)) = 0
6(-1 + 3a + (-1 * 3a + 3a * 3a)) = 0
6(-1 + 3a + (-3a + 9a2)) = 0

Combine like terms: 3a + -3a = 0
6(-1 + 0 + 9a2) = 0
6(-1 + 9a2) = 0
(-1 * 6 + 9a2 * 6) = 0
(-6 + 54a2) = 0

Solving
-6 + 54a2 = 0

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 54a2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 54a2 = 0 + 6
54a2 = 0 + 6

Combine like terms: 0 + 6 = 6
54a2 = 6

Divide each side by '54'.
a2 = 0.1111111111

Simplifying
a2 = 0.1111111111

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