14p^2+17p-6=0

Solution for 14p^2+17p-6=0 equation:

Simplifying
14p2 + 17p + -6 = 0

Reorder the terms:
-6 + 17p + 14p2 = 0

Solving
-6 + 17p + 14p2 = 0

Solving for variable 'p'.

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

Subproblem 1
Set the factor '(-3 + -2p)' equal to zero and attempt to solve:

Simplifying
-3 + -2p = 0

Solving
-3 + -2p = 0

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

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

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

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

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

Simplifying
p = -1.5
Subproblem 2
Set the factor '(2 + -7p)' equal to zero and attempt to solve:

Simplifying
2 + -7p = 0

Solving
2 + -7p = 0

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

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

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

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

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

Simplifying
p = 0.2857142857
Solution
p = {-1.5, 0.2857142857}