2a(a-3)=0

Solution for 2a(a-3)=0 equation:

Simplifying
2a(a + -3) = 0

Reorder the terms:
2a(-3 + a) = 0
(-3 * 2a + a * 2a) = 0
(-6a + 2a2) = 0

Solving
-6a + 2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-3 + a) = 0

Ignore the factor 2.
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 + a)' equal to zero and attempt to solve:

Simplifying
-3 + a = 0

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

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

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

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