12z^2-28z+11=

Solution for 12z^2-28z+11= equation:

Simplifying
12z2 + -28z + 11 = 0

Reorder the terms:
11 + -28z + 12z2 = 0

Solving
11 + -28z + 12z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(1 + -2z)(11 + -6z) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(11 + -6z)' equal to zero and attempt to solve:

Simplifying
11 + -6z = 0

Solving
11 + -6z = 0

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

Add '-11' to each side of the equation.
11 + -11 + -6z = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6z = 0 + -11
-6z = 0 + -11

Combine like terms: 0 + -11 = -11
-6z = -11

Divide each side by '-6'.
z = 1.833333333

Simplifying
z = 1.833333333
Solution
z = {0.5, 1.833333333}