5a*(3b-a)=0

Solution for 5a*(3b-a)=0 equation:

Simplifying
5a(3b + -1a) = 0

Reorder the terms:
5a(-1a + 3b) = 0
(-1a * 5a + 3b * 5a) = 0

Reorder the terms:
(15ab + -5a2) = 0
(15ab + -5a2) = 0

Solving
15ab + -5a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(3b + -1a) = 0

Ignore the factor 5.
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 + -1a)' equal to zero and attempt to solve:

Simplifying
3b + -1a = 0

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

Solving
-1a + 3b = 0

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

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

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

Divide each side by '-1'.
a = 3b

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