6z=7z^2

Solution for 6z=7z^2 equation:

Simplifying
6z = 7z2

Solving
6z = 7z2

Solving for variable 'z'.

Combine like terms: 7z2 + -7z2 = 0
6z + -7z2 = 0

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

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}