24p^2-55p-24=0

Solution for 24p^2-55p-24=0 equation:

Simplifying
24p2 + -55p + -24 = 0

Reorder the terms:
-24 + -55p + 24p2 = 0

Solving
-24 + -55p + 24p2 = 0

Solving for variable 'p'.

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

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

Simplifying
-3 + -8p = 0

Solving
-3 + -8p = 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 + -8p = 0 + 3

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

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

Divide each side by '-8'.
p = -0.375

Simplifying
p = -0.375
Subproblem 2
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
Solution
p = {-0.375, 2.666666667}