8a^3-6a^2=0

Solution for 8a^3-6a^2=0 equation:

Simplifying
8a3 + -6a2 = 0

Reorder the terms:
-6a2 + 8a3 = 0

Solving
-6a2 + 8a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a2'.
2a2(-3 + 4a) = 0

Ignore the factor 2.
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 '(-3 + 4a)' equal to zero and attempt to solve:

Simplifying
-3 + 4a = 0

Solving
-3 + 4a = 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 + 4a = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4a = 0 + 3
4a = 0 + 3

Combine like terms: 0 + 3 = 3
4a = 3

Divide each side by '4'.
a = 0.75

Simplifying
a = 0.75
Solution
a = {0, 0.75}