14z^2-11z+2=0

Solution for 14z^2-11z+2=0 equation:

Simplifying
14z2 + -11z + 2 = 0

Reorder the terms:
2 + -11z + 14z2 = 0

Solving
2 + -11z + 14z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(2 + -7z)(1 + -2z) = 0

Subproblem 1
Set the factor '(2 + -7z)' equal to zero and attempt to solve:

Simplifying
2 + -7z = 0

Solving
2 + -7z = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7z = 0 + -2
-7z = 0 + -2

Combine like terms: 0 + -2 = -2
-7z = -2

Divide each side by '-7'.
z = 0.2857142857

Simplifying
z = 0.2857142857
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 = {0.2857142857, 0.5}