8z(z-3)=0

Solution for 8z(z-3)=0 equation:

Simplifying
8z(z + -3) = 0

Reorder the terms:
8z(-3 + z) = 0
(-3 * 8z + z * 8z) = 0
(-24z + 8z2) = 0

Solving
-24z + 8z2 = 0

Solving for variable 'z'.

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

Ignore the factor 8.
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 + z)' equal to zero and attempt to solve:

Simplifying
-3 + z = 0

Solving
-3 + z = 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 + z = 0 + 3

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

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

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