z(5z-3)-2z=

Solution for z(5z-3)-2z= equation:

Simplifying
z(5z + -3) + -2z = 0

Reorder the terms:
z(-3 + 5z) + -2z = 0
(-3 * z + 5z * z) + -2z = 0
(-3z + 5z2) + -2z = 0

Reorder the terms:
-3z + -2z + 5z2 = 0

Combine like terms: -3z + -2z = -5z
-5z + 5z2 = 0

Solving
-5z + 5z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '5z'.
5z(-1 + z) = 0

Ignore the factor 5.
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 + z)' equal to zero and attempt to solve:

Simplifying
-1 + z = 0

Solving
-1 + z = 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 + z = 0 + 1

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

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

Simplifying
z = 1
Solution
z = {0, 1}