102p-p^2-200=0

Solution for 102p-p^2-200=0 equation:

Simplifying
102p + -1p2 + -200 = 0

Reorder the terms:
-200 + 102p + -1p2 = 0

Solving
-200 + 102p + -1p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-100 + p)(2 + -1p) = 0

Subproblem 1
Set the factor '(-100 + p)' equal to zero and attempt to solve:

Simplifying
-100 + p = 0

Solving
-100 + p = 0

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

Add '100' to each side of the equation.
-100 + 100 + p = 0 + 100

Combine like terms: -100 + 100 = 0
0 + p = 0 + 100
p = 0 + 100

Combine like terms: 0 + 100 = 100
p = 100

Simplifying
p = 100
Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1p = 0 + -2

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

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

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Solution
p = {100, 2}