2a(-3a+12c)=

Solution for 2a(-3a+12c)= equation:

Simplifying
2a(-3a + 12c) = 0
(-3a * 2a + 12c * 2a) = 0

Reorder the terms:
(24ac + -6a2) = 0
(24ac + -6a2) = 0

Solving
24ac + -6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(4c + -1a) = 0

Ignore the factor 6.
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 '(4c + -1a)' equal to zero and attempt to solve:

Simplifying
4c + -1a = 0

Reorder the terms:
-1a + 4c = 0

Solving
-1a + 4c = 0

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

Add '-4c' to each side of the equation.
-1a + 4c + -4c = 0 + -4c

Combine like terms: 4c + -4c = 0
-1a + 0 = 0 + -4c
-1a = 0 + -4c
Remove the zero:
-1a = -4c

Divide each side by '-1'.
a = 4c

Simplifying
a = 4c
Solution
a = {0, 4c}