14p^2-19p+6=0

Solution for 14p^2-19p+6=0 equation:

Simplifying
14p2 + -19p + 6 = 0

Reorder the terms:
6 + -19p + 14p2 = 0

Solving
6 + -19p + 14p2 = 0

Solving for variable 'p'.

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

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

Simplifying
1 + -2p = 0

Solving
1 + -2p = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2p = 0 + -1

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

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

Divide each side by '-2'.
p = 0.5

Simplifying
p = 0.5
Subproblem 2
Set the factor '(6 + -7p)' equal to zero and attempt to solve:

Simplifying
6 + -7p = 0

Solving
6 + -7p = 0

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

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

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

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

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

Simplifying
p = 0.8571428571
Solution
p = {0.5, 0.8571428571}