(6ac^2+3)(6ac^2-1)=

Solution for (6ac^2+3)(6ac^2-1)= equation:

Simplifying
(6ac2 + 3)(6ac2 + -1) = 0

Reorder the terms:
(3 + 6ac2)(6ac2 + -1) = 0

Reorder the terms:
(3 + 6ac2)(-1 + 6ac2) = 0

Multiply (3 + 6ac2) * (-1 + 6ac2)
(3(-1 + 6ac2) + 6ac2 * (-1 + 6ac2)) = 0
((-1 * 3 + 6ac2 * 3) + 6ac2 * (-1 + 6ac2)) = 0
((-3 + 18ac2) + 6ac2 * (-1 + 6ac2)) = 0
(-3 + 18ac2 + (-1 * 6ac2 + 6ac2 * 6ac2)) = 0
(-3 + 18ac2 + (-6ac2 + 36a2c4)) = 0

Combine like terms: 18ac2 + -6ac2 = 12ac2
(-3 + 12ac2 + 36a2c4) = 0

Solving
-3 + 12ac2 + 36a2c4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 4ac2 + 12a2c4) = 0

Factor a trinomial.
3((-1 + -2ac2)(1 + -6ac2)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + -2ac2)' equal to zero and attempt to solve:

Simplifying
-1 + -2ac2 = 0

Solving
-1 + -2ac2 = 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 + -2ac2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2ac2 = 0 + 1
-2ac2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2ac2 = 1

Divide each side by '-2c2'.
a = -0.5c-2

Simplifying
a = -0.5c-2
Subproblem 2
Set the factor '(1 + -6ac2)' equal to zero and attempt to solve:

Simplifying
1 + -6ac2 = 0

Solving
1 + -6ac2 = 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 + -6ac2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6ac2 = 0 + -1
-6ac2 = 0 + -1

Combine like terms: 0 + -1 = -1
-6ac2 = -1

Divide each side by '-6c2'.
a = 0.1666666667c-2

Simplifying
a = 0.1666666667c-2
Solution
a = {-0.5c-2, 0.1666666667c-2}