-84=-p^2+8p

Solution for -84=-p^2+8p equation:

Simplifying
-84 = -1p2 + 8p

Reorder the terms:
-84 = 8p + -1p2

Solving
-84 = 8p + -1p2

Solving for variable 'p'.

Reorder the terms:
-84 + -8p + p2 = 8p + -8p + -1p2 + p2

Combine like terms: 8p + -8p = 0
-84 + -8p + p2 = 0 + -1p2 + p2
-84 + -8p + p2 = -1p2 + p2

Combine like terms: -1p2 + p2 = 0
-84 + -8p + p2 = 0

Factor a trinomial.
(-6 + -1p)(14 + -1p) = 0

Subproblem 1
Set the factor '(-6 + -1p)' equal to zero and attempt to solve:

Simplifying
-6 + -1p = 0

Solving
-6 + -1p = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1p = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1p = 0 + 6
-1p = 0 + 6

Combine like terms: 0 + 6 = 6
-1p = 6

Divide each side by '-1'.
p = -6

Simplifying
p = -6
Subproblem 2
Set the factor '(14 + -1p)' equal to zero and attempt to solve:

Simplifying
14 + -1p = 0

Solving
14 + -1p = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1p = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1p = 0 + -14
-1p = 0 + -14

Combine like terms: 0 + -14 = -14
-1p = -14

Divide each side by '-1'.
p = 14

Simplifying
p = 14
Solution
p = {-6, 14}