3p^2=-11p-6

Solution for 3p^2=-11p-6 equation:

Simplifying
3p2 = -11p + -6

Reorder the terms:
3p2 = -6 + -11p

Solving
3p2 = -6 + -11p

Solving for variable 'p'.

Reorder the terms:
6 + 11p + 3p2 = -6 + -11p + 6 + 11p

Reorder the terms:
6 + 11p + 3p2 = -6 + 6 + -11p + 11p

Combine like terms: -6 + 6 = 0
6 + 11p + 3p2 = 0 + -11p + 11p
6 + 11p + 3p2 = -11p + 11p

Combine like terms: -11p + 11p = 0
6 + 11p + 3p2 = 0

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

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

Simplifying
3 + p = 0

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

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

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

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

Simplifying
2 + 3p = 0

Solving
2 + 3p = 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 + 3p = 0 + -2

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

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

Divide each side by '3'.
p = -0.6666666667

Simplifying
p = -0.6666666667
Solution
p = {-3, -0.6666666667}