p(2-p)=-15

Solution for p(2-p)=-15 equation:

Simplifying
p(2 + -1p) = -15
(2 * p + -1p * p) = -15
(2p + -1p2) = -15

Solving
2p + -1p2 = -15

Solving for variable 'p'.

Reorder the terms:
15 + 2p + -1p2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + 2p + -1p2 = 0

Factor a trinomial.
(5 + -1p)(3 + p) = 0

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

Simplifying
5 + -1p = 0

Solving
5 + -1p = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1p = 0 + -5
-1p = 0 + -5

Combine like terms: 0 + -5 = -5
-1p = -5

Divide each side by '-1'.
p = 5

Simplifying
p = 5
Subproblem 2
Set the factor '(3 + p)' equal to zero and attempt to solve:

Simplifying
3 + p = 0

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

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

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

Simplifying
p = -3
Solution
p = {5, -3}