3z^2=9z

Solution for 3z^2=9z equation:

Simplifying
3z2 = 9z

Solving
3z2 = 9z

Solving for variable 'z'.

Reorder the terms:
-9z + 3z2 = 9z + -9z

Combine like terms: 9z + -9z = 0
-9z + 3z2 = 0

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

Ignore the factor 3.
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}