3p^2-7p-48=0

Solution for 3p^2-7p-48=0 equation:

Simplifying
3p2 + -7p + -48 = 0

Reorder the terms:
-48 + -7p + 3p2 = 0

Solving
-48 + -7p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-3 + -1p)(16 + -3p) = 0

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

Simplifying
-3 + -1p = 0

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

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

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

Divide each side by '-1'.
p = -3

Simplifying
p = -3
Subproblem 2
Set the factor '(16 + -3p)' equal to zero and attempt to solve:

Simplifying
16 + -3p = 0

Solving
16 + -3p = 0

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

Add '-16' to each side of the equation.
16 + -16 + -3p = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3p = 0 + -16
-3p = 0 + -16

Combine like terms: 0 + -16 = -16
-3p = -16

Divide each side by '-3'.
p = 5.333333333

Simplifying
p = 5.333333333
Solution
p = {-3, 5.333333333}