22z^2-17z+3=0

Solution for 22z^2-17z+3=0 equation:

Simplifying
22z2 + -17z + 3 = 0

Reorder the terms:
3 + -17z + 22z2 = 0

Solving
3 + -17z + 22z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(3 + -11z)(1 + -2z) = 0

Subproblem 1
Set the factor '(3 + -11z)' equal to zero and attempt to solve:

Simplifying
3 + -11z = 0

Solving
3 + -11z = 0

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

Add '-3' to each side of the equation.
3 + -3 + -11z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -11z = 0 + -3
-11z = 0 + -3

Combine like terms: 0 + -3 = -3
-11z = -3

Divide each side by '-11'.
z = 0.2727272727

Simplifying
z = 0.2727272727
Subproblem 2
Set the factor '(1 + -2z)' equal to zero and attempt to solve:

Simplifying
1 + -2z = 0

Solving
1 + -2z = 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 + -2z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2z = 0 + -1
-2z = 0 + -1

Combine like terms: 0 + -1 = -1
-2z = -1

Divide each side by '-2'.
z = 0.5

Simplifying
z = 0.5
Solution
z = {0.2727272727, 0.5}