6z^2-11z+5=0

Solution for 6z^2-11z+5=0 equation:

Simplifying
6z2 + -11z + 5 = 0

Reorder the terms:
5 + -11z + 6z2 = 0

Solving
5 + -11z + 6z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(5 + -6z)(1 + -1z) = 0

Subproblem 1
Set the factor '(5 + -6z)' equal to zero and attempt to solve:

Simplifying
5 + -6z = 0

Solving
5 + -6z = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6z = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6z = 0 + -5
-6z = 0 + -5

Combine like terms: 0 + -5 = -5
-6z = -5

Divide each side by '-6'.
z = 0.8333333333

Simplifying
z = 0.8333333333
Subproblem 2
Set the factor '(1 + -1z)' equal to zero and attempt to solve:

Simplifying
1 + -1z = 0

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

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

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

Divide each side by '-1'.
z = 1

Simplifying
z = 1
Solution
z = {0.8333333333, 1}