4a^3=20a^2

Solution for 4a^3=20a^2 equation:

Simplifying
4a3 = 20a2

Solving
4a3 = 20a2

Solving for variable 'a'.

Reorder the terms:
-20a2 + 4a3 = 20a2 + -20a2

Combine like terms: 20a2 + -20a2 = 0
-20a2 + 4a3 = 0

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

Ignore the factor 4.
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 '(-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}