-6p^2-17p-5=0

Solution for -6p^2-17p-5=0 equation:

Simplifying
-6p2 + -17p + -5 = 0

Reorder the terms:
-5 + -17p + -6p2 = 0

Solving
-5 + -17p + -6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5 + 17p + 6p2) = 0

Factor a trinomial.
-1((5 + 2p)(1 + 3p)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(5 + 2p)' equal to zero and attempt to solve:

Simplifying
5 + 2p = 0

Solving
5 + 2p = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2p = 0 + -5
2p = 0 + -5

Combine like terms: 0 + -5 = -5
2p = -5

Divide each side by '2'.
p = -2.5

Simplifying
p = -2.5
Subproblem 2
Set the factor '(1 + 3p)' equal to zero and attempt to solve:

Simplifying
1 + 3p = 0

Solving
1 + 3p = 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 + 3p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3p = 0 + -1
3p = 0 + -1

Combine like terms: 0 + -1 = -1
3p = -1

Divide each side by '3'.
p = -0.3333333333

Simplifying
p = -0.3333333333
Solution
p = {-2.5, -0.3333333333}