(6-8z)9z=

Solution for (6-8z)9z= equation:

Simplifying
(6 + -8z) * 9z = 0

Reorder the terms for easier multiplication:
9z(6 + -8z) = 0
(6 * 9z + -8z * 9z) = 0
(54z + -72z2) = 0

Solving
54z + -72z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '18z'.
18z(3 + -4z) = 0

Ignore the factor 18.
Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0
Subproblem 2
Set the factor '(3 + -4z)' equal to zero and attempt to solve:

Simplifying
3 + -4z = 0

Solving
3 + -4z = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4z = 0 + -3

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

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

Divide each side by '-4'.
z = 0.75

Simplifying
z = 0.75
Solution
z = {0, 0.75}