4a^2(3a-3b)=

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

Simplifying
4a2(3a + -3b) = 0
(3a * 4a2 + -3b * 4a2) = 0

Reorder the terms:
(-12a2b + 12a3) = 0
(-12a2b + 12a3) = 0

Solving
-12a2b + 12a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '12a2'.
12a2(-1b + a) = 0

Ignore the factor 12.
Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(-1b + a)' equal to zero and attempt to solve:

Simplifying
-1b + a = 0

Reorder the terms:
a + -1b = 0

Solving
a + -1b = 0

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

Add 'b' to each side of the equation.
a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
a + 0 = 0 + b
a = 0 + b
Remove the zero:
a = b

Simplifying
a = b
Solution
a = {0, b}