28z^2-25z+3=

Solution for 28z^2-25z+3= equation:

Simplifying
28z2 + -25z + 3 = 0

Reorder the terms:
3 + -25z + 28z2 = 0

Solving
3 + -25z + 28z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(1 + -7z)(3 + -4z) = 0

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

Simplifying
1 + -7z = 0

Solving
1 + -7z = 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 + -7z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7z = 0 + -1
-7z = 0 + -1

Combine like terms: 0 + -1 = -1
-7z = -1

Divide each side by '-7'.
z = 0.1428571429

Simplifying
z = 0.1428571429
Subproblem 2
Set the factor '(3 + -4z)' equal to zero and attempt to solve:

Simplifying
3 + -4z = 0

Solving
3 + -4z = 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 + -4z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4z = 0 + -3
-4z = 0 + -3

Combine like terms: 0 + -3 = -3
-4z = -3

Divide each side by '-4'.
z = 0.75

Simplifying
z = 0.75
Solution
z = {0.1428571429, 0.75}