5p^2-11p=16

Solution for 5p^2-11p=16 equation:

Simplifying
5p2 + -11p = 16

Reorder the terms:
-11p + 5p2 = 16

Solving
-11p + 5p2 = 16

Solving for variable 'p'.

Reorder the terms:
-16 + -11p + 5p2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + -11p + 5p2 = 0

Factor a trinomial.
(-1 + -1p)(16 + -5p) = 0

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

Simplifying
-1 + -1p = 0

Solving
-1 + -1p = 0

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

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

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

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

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

Simplifying
p = -1
Subproblem 2
Set the factor '(16 + -5p)' equal to zero and attempt to solve:

Simplifying
16 + -5p = 0

Solving
16 + -5p = 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 + -5p = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -5p = 0 + -16
-5p = 0 + -16

Combine like terms: 0 + -16 = -16
-5p = -16

Divide each side by '-5'.
p = 3.2

Simplifying
p = 3.2
Solution
p = {-1, 3.2}