6p^2-11p-72=0

Solution for 6p^2-11p-72=0 equation:

Simplifying
6p2 + -11p + -72 = 0

Reorder the terms:
-72 + -11p + 6p2 = 0

Solving
-72 + -11p + 6p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-8 + -3p)(9 + -2p) = 0

Subproblem 1
Set the factor '(-8 + -3p)' equal to zero and attempt to solve:

Simplifying
-8 + -3p = 0

Solving
-8 + -3p = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3p = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3p = 0 + 8
-3p = 0 + 8

Combine like terms: 0 + 8 = 8
-3p = 8

Divide each side by '-3'.
p = -2.666666667

Simplifying
p = -2.666666667
Subproblem 2
Set the factor '(9 + -2p)' equal to zero and attempt to solve:

Simplifying
9 + -2p = 0

Solving
9 + -2p = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2p = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2p = 0 + -9
-2p = 0 + -9

Combine like terms: 0 + -9 = -9
-2p = -9

Divide each side by '-2'.
p = 4.5

Simplifying
p = 4.5
Solution
p = {-2.666666667, 4.5}