0=-14p^2-5p+24

Solution for 0=-14p^2-5p+24 equation:

Simplifying
0 = -14p2 + -5p + 24

Reorder the terms:
0 = 24 + -5p + -14p2

Solving
0 = 24 + -5p + -14p2

Solving for variable 'p'.

Combine like terms: 0 + -24 = -24
-24 + 5p + 14p2 = 24 + -5p + -14p2 + -24 + 5p + 14p2

Reorder the terms:
-24 + 5p + 14p2 = 24 + -24 + -5p + 5p + -14p2 + 14p2

Combine like terms: 24 + -24 = 0
-24 + 5p + 14p2 = 0 + -5p + 5p + -14p2 + 14p2
-24 + 5p + 14p2 = -5p + 5p + -14p2 + 14p2

Combine like terms: -5p + 5p = 0
-24 + 5p + 14p2 = 0 + -14p2 + 14p2
-24 + 5p + 14p2 = -14p2 + 14p2

Combine like terms: -14p2 + 14p2 = 0
-24 + 5p + 14p2 = 0

Factor a trinomial.
(-3 + -2p)(8 + -7p) = 0

Subproblem 1
Set the factor '(-3 + -2p)' equal to zero and attempt to solve:

Simplifying
-3 + -2p = 0

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

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

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

Divide each side by '-2'.
p = -1.5

Simplifying
p = -1.5
Subproblem 2
Set the factor '(8 + -7p)' equal to zero and attempt to solve:

Simplifying
8 + -7p = 0

Solving
8 + -7p = 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 + -7p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7p = 0 + -8
-7p = 0 + -8

Combine like terms: 0 + -8 = -8
-7p = -8

Divide each side by '-7'.
p = 1.142857143

Simplifying
p = 1.142857143
Solution
p = {-1.5, 1.142857143}