4a(9a-4)=0

Solution for 4a(9a-4)=0 equation:

Simplifying
4a(9a + -4) = 0

Reorder the terms:
4a(-4 + 9a) = 0
(-4 * 4a + 9a * 4a) = 0
(-16a + 36a2) = 0

Solving
-16a + 36a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-4 + 9a) = 0

Ignore the factor 4.
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 + 9a)' equal to zero and attempt to solve:

Simplifying
-4 + 9a = 0

Solving
-4 + 9a = 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 + 9a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9a = 0 + 4
9a = 0 + 4

Combine like terms: 0 + 4 = 4
9a = 4

Divide each side by '9'.
a = 0.4444444444

Simplifying
a = 0.4444444444
Solution
a = {0, 0.4444444444}