3a(a-6a+3)=

Solution for 3a(a-6a+3)= equation:

Simplifying
3a(a + -6a + 3) = 0

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

Combine like terms: a + -6a = -5a
3a(3 + -5a) = 0
(3 * 3a + -5a * 3a) = 0
(9a + -15a2) = 0

Solving
9a + -15a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(3 + -5a) = 0

Ignore the factor 3.
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 + -5a)' equal to zero and attempt to solve:

Simplifying
3 + -5a = 0

Solving
3 + -5a = 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 + -5a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5a = 0 + -3
-5a = 0 + -3

Combine like terms: 0 + -3 = -3
-5a = -3

Divide each side by '-5'.
a = 0.6

Simplifying
a = 0.6
Solution
a = {0, 0.6}