14c^2-25c+6=0

Solution for 14c^2-25c+6=0 equation:

Simplifying
14c2 + -25c + 6 = 0

Reorder the terms:
6 + -25c + 14c2 = 0

Solving
6 + -25c + 14c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(2 + -7c)(3 + -2c) = 0

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

Simplifying
2 + -7c = 0

Solving
2 + -7c = 0

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

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

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

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

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

Simplifying
c = 0.2857142857
Subproblem 2
Set the factor '(3 + -2c)' equal to zero and attempt to solve:

Simplifying
3 + -2c = 0

Solving
3 + -2c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2c = 0 + -3
-2c = 0 + -3

Combine like terms: 0 + -3 = -3
-2c = -3

Divide each side by '-2'.
c = 1.5

Simplifying
c = 1.5
Solution
c = {0.2857142857, 1.5}