5a(a-5)=0

Solution for 5a(a-5)=0 equation:

Simplifying
5a(a + -5) = 0

Reorder the terms:
5a(-5 + a) = 0
(-5 * 5a + a * 5a) = 0
(-25a + 5a2) = 0

Solving
-25a + 5a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(-5 + a) = 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 '(-5 + a)' equal to zero and attempt to solve:

Simplifying
-5 + a = 0

Solving
-5 + a = 0

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

Add '5' to each side of the equation.
-5 + 5 + a = 0 + 5

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

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

Simplifying
a = 5
Solution
a = {0, 5}