a(a-3b)=0

Solution for a(a-3b)=0 equation:

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

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

Solving
-3ab + a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-3b + a) = 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 '(-3b + a)' equal to zero and attempt to solve:

Simplifying
-3b + a = 0

Reorder the terms:
a + -3b = 0

Solving
a + -3b = 0

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

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

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

Simplifying
a = 3b
Solution
a = {0, 3b}