7z^2-20z+12=0

Solution for 7z^2-20z+12=0 equation:

Simplifying
7z2 + -20z + 12 = 0

Reorder the terms:
12 + -20z + 7z2 = 0

Solving
12 + -20z + 7z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(6 + -7z)(2 + -1z) = 0

Subproblem 1
Set the factor '(6 + -7z)' equal to zero and attempt to solve:

Simplifying
6 + -7z = 0

Solving
6 + -7z = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7z = 0 + -6
-7z = 0 + -6

Combine like terms: 0 + -6 = -6
-7z = -6

Divide each side by '-7'.
z = 0.8571428571

Simplifying
z = 0.8571428571
Subproblem 2
Set the factor '(2 + -1z)' equal to zero and attempt to solve:

Simplifying
2 + -1z = 0

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

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

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

Divide each side by '-1'.
z = 2

Simplifying
z = 2
Solution
z = {0.8571428571, 2}