a*(3a-b)=

Solution for a*(3a-b)= equation:

Simplifying
a(3a + -1b) = 0
(3a * a + -1b * a) = 0

Reorder the terms:
(-1ab + 3a2) = 0
(-1ab + 3a2) = 0

Solving
-1ab + 3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1b + 3a) = 0

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 '(-1b + 3a)' equal to zero and attempt to solve:

Simplifying
-1b + 3a = 0

Reorder the terms:
3a + -1b = 0

Solving
3a + -1b = 0

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

Add 'b' to each side of the equation.
3a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
3a + 0 = 0 + b
3a = 0 + b
Remove the zero:
3a = b

Divide each side by '3'.
a = 0.3333333333b

Simplifying
a = 0.3333333333b
Solution
a = {0, 0.3333333333b}