72x(9-6x)=0

Solution for 72x(9-6x)=0 equation:

Simplifying
72x(9 + -6x) = 0
(9 * 72x + -6x * 72x) = 0
(648x + -432x2) = 0

Solving
648x + -432x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '216x'.
216x(3 + -2x) = 0

Ignore the factor 216.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0, 1.5}