4a(a^2-3)=

Solution for 4a(a^2-3)= equation:

Simplifying
4a(a2 + -3) = 0

Reorder the terms:
4a(-3 + a2) = 0
(-3 * 4a + a2 * 4a) = 0
(-12a + 4a3) = 0

Solving
-12a + 4a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-3 + a2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(-3 + a2)' equal to zero and attempt to solve:

Simplifying
-3 + a2 = 0

Solving
-3 + a2 = 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 + a2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + a2 = 0 + 3
a2 = 0 + 3

Combine like terms: 0 + 3 = 3
a2 = 3

Simplifying
a2 = 3

Take the square root of each side:
a = {-1.732050808, 1.732050808}
Solution
a = {0, -1.732050808, 1.732050808}