6p^2+17p+10=0

Solution for 6p^2+17p+10=0 equation:

Simplifying
6p2 + 17p + 10 = 0

Reorder the terms:
10 + 17p + 6p2 = 0

Solving
10 + 17p + 6p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(2 + p)(5 + 6p) = 0

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

Simplifying
2 + p = 0

Solving
2 + p = 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 + p = 0 + -2

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

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

Simplifying
p = -2
Subproblem 2
Set the factor '(5 + 6p)' equal to zero and attempt to solve:

Simplifying
5 + 6p = 0

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

Combine like terms: 5 + -5 = 0
0 + 6p = 0 + -5
6p = 0 + -5

Combine like terms: 0 + -5 = -5
6p = -5

Divide each side by '6'.
p = -0.8333333333

Simplifying
p = -0.8333333333
Solution
p = {-2, -0.8333333333}