5p^2+8p-112=0

Solution for 5p^2+8p-112=0 equation:

Simplifying
5p2 + 8p + -112 = 0

Reorder the terms:
-112 + 8p + 5p2 = 0

Solving
-112 + 8p + 5p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-28 + -5p)(4 + -1p) = 0

Subproblem 1
Set the factor '(-28 + -5p)' equal to zero and attempt to solve:

Simplifying
-28 + -5p = 0

Solving
-28 + -5p = 0

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

Add '28' to each side of the equation.
-28 + 28 + -5p = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -5p = 0 + 28
-5p = 0 + 28

Combine like terms: 0 + 28 = 28
-5p = 28

Divide each side by '-5'.
p = -5.6

Simplifying
p = -5.6
Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve:

Simplifying
4 + -1p = 0

Solving
4 + -1p = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 0 + -4
-1p = 0 + -4

Combine like terms: 0 + -4 = -4
-1p = -4

Divide each side by '-1'.
p = 4

Simplifying
p = 4
Solution
p = {-5.6, 4}