z-7z^2=0

Solution for z-7z^2=0 equation:

Simplifying
z + -7z2 = 0

Solving
z + -7z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(1 + -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 '(1 + -7z)' equal to zero and attempt to solve:

Simplifying
1 + -7z = 0

Solving
1 + -7z = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7z = 0 + -1
-7z = 0 + -1

Combine like terms: 0 + -1 = -1
-7z = -1

Divide each side by '-7'.
z = 0.1428571429

Simplifying
z = 0.1428571429
Solution
z = {0, 0.1428571429}