-144a^2+24a=0

Solution for -144a^2+24a=0 equation:

Simplifying
-144a2 + 24a = 0

Reorder the terms:
24a + -144a2 = 0

Solving
24a + -144a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '24a'.
24a(1 + -6a) = 0

Ignore the factor 24.
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 '(1 + -6a)' equal to zero and attempt to solve:

Simplifying
1 + -6a = 0

Solving
1 + -6a = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6a = 0 + -1
-6a = 0 + -1

Combine like terms: 0 + -1 = -1
-6a = -1

Divide each side by '-6'.
a = 0.1666666667

Simplifying
a = 0.1666666667
Solution
a = {0, 0.1666666667}