0=8a^2-24a

Solution for 0=8a^2-24a equation:

Simplifying
0 = 8a2 + -24a

Reorder the terms:
0 = -24a + 8a2

Solving
0 = -24a + 8a2

Solving for variable 'a'.
Remove the zero:
24a + -8a2 = -24a + 8a2 + 24a + -8a2

Reorder the terms:
24a + -8a2 = -24a + 24a + 8a2 + -8a2

Combine like terms: -24a + 24a = 0
24a + -8a2 = 0 + 8a2 + -8a2
24a + -8a2 = 8a2 + -8a2

Combine like terms: 8a2 + -8a2 = 0
24a + -8a2 = 0

Factor out the Greatest Common Factor (GCF), '8a'.
8a(3 + -1a) = 0

Ignore the factor 8.
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 '(3 + -1a)' equal to zero and attempt to solve:

Simplifying
3 + -1a = 0

Solving
3 + -1a = 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 + -1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 0 + -3
-1a = 0 + -3

Combine like terms: 0 + -3 = -3
-1a = -3

Divide each side by '-1'.
a = 3

Simplifying
a = 3
Solution
a = {0, 3}