300=-p^2-2p+363

Solution for 300=-p^2-2p+363 equation:

Simplifying
300 = -1p2 + -2p + 363

Reorder the terms:
300 = 363 + -2p + -1p2

Solving
300 = 363 + -2p + -1p2

Solving for variable 'p'.

Combine like terms: 300 + -363 = -63
-63 + 2p + p2 = 363 + -2p + -1p2 + -363 + 2p + p2

Reorder the terms:
-63 + 2p + p2 = 363 + -363 + -2p + 2p + -1p2 + p2

Combine like terms: 363 + -363 = 0
-63 + 2p + p2 = 0 + -2p + 2p + -1p2 + p2
-63 + 2p + p2 = -2p + 2p + -1p2 + p2

Combine like terms: -2p + 2p = 0
-63 + 2p + p2 = 0 + -1p2 + p2
-63 + 2p + p2 = -1p2 + p2

Combine like terms: -1p2 + p2 = 0
-63 + 2p + p2 = 0

Factor a trinomial.
(-9 + -1p)(7 + -1p) = 0

Subproblem 1
Set the factor '(-9 + -1p)' equal to zero and attempt to solve:

Simplifying
-9 + -1p = 0

Solving
-9 + -1p = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1p = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1p = 0 + 9
-1p = 0 + 9

Combine like terms: 0 + 9 = 9
-1p = 9

Divide each side by '-1'.
p = -9

Simplifying
p = -9
Subproblem 2
Set the factor '(7 + -1p)' equal to zero and attempt to solve:

Simplifying
7 + -1p = 0

Solving
7 + -1p = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1p = 0 + -7
-1p = 0 + -7

Combine like terms: 0 + -7 = -7
-1p = -7

Divide each side by '-1'.
p = 7

Simplifying
p = 7
Solution
p = {-9, 7}