25a^3-20a^2=0

Solution for 25a^3-20a^2=0 equation:

Simplifying
25a3 + -20a2 = 0

Reorder the terms:
-20a2 + 25a3 = 0

Solving
-20a2 + 25a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a2'.
5a2(-4 + 5a) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(-4 + 5a)' equal to zero and attempt to solve:

Simplifying
-4 + 5a = 0

Solving
-4 + 5a = 0

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

Add '4' to each side of the equation.
-4 + 4 + 5a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5a = 0 + 4
5a = 0 + 4

Combine like terms: 0 + 4 = 4
5a = 4

Divide each side by '5'.
a = 0.8

Simplifying
a = 0.8
Solution
a = {0, 0.8}