9z(7z+6)=0

Solution for 9z(7z+6)=0 equation:

Simplifying
9z(7z + 6) = 0

Reorder the terms:
9z(6 + 7z) = 0
(6 * 9z + 7z * 9z) = 0
(54z + 63z2) = 0

Solving
54z + 63z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '9z'.
9z(6 + 7z) = 0

Ignore the factor 9.
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 '(6 + 7z)' equal to zero and attempt to solve:

Simplifying
6 + 7z = 0

Solving
6 + 7z = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7z = 0 + -6
7z = 0 + -6

Combine like terms: 0 + -6 = -6
7z = -6

Divide each side by '7'.
z = -0.8571428571

Simplifying
z = -0.8571428571
Solution
z = {0, -0.8571428571}