4a^2-12a=4a(a-12a)

Solution for 4a^2-12a=4a(a-12a) equation:

Simplifying
4a2 + -12a = 4a(a + -12a)

Reorder the terms:
-12a + 4a2 = 4a(a + -12a)

Combine like terms: a + -12a = -11a
-12a + 4a2 = 4a(-11a)

Remove parenthesis around (-11a)
-12a + 4a2 = 4a * -11a

Reorder the terms for easier multiplication:
-12a + 4a2 = 4 * -11a * a

Multiply 4 * -11
-12a + 4a2 = -44a * a

Multiply a * a
-12a + 4a2 = -44a2

Solving
-12a + 4a2 = -44a2

Solving for variable 'a'.

Combine like terms: 4a2 + 44a2 = 48a2
-12a + 48a2 = -44a2 + 44a2

Combine like terms: -44a2 + 44a2 = 0
-12a + 48a2 = 0

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

Ignore the factor 12.
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 '(-1 + 4a)' equal to zero and attempt to solve:

Simplifying
-1 + 4a = 0

Solving
-1 + 4a = 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 + 4a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4a = 0 + 1
4a = 0 + 1

Combine like terms: 0 + 1 = 1
4a = 1

Divide each side by '4'.
a = 0.25

Simplifying
a = 0.25
Solution
a = {0, 0.25}