6a^2-8a=0

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

Simplifying
6a2 + -8a = 0

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

Solving
-8a + 6a2 = 0

Solving for variable 'a'.

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

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

Simplifying
-4 + 3a = 0

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

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

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

Divide each side by '3'.
a = 1.333333333

Simplifying
a = 1.333333333
Solution
a = {0, 1.333333333}