-p(2p-8)-5p=

Solution for -p(2p-8)-5p= equation:

Simplifying
-1p(2p + -8) + -5p = 0

Reorder the terms:
-1p(-8 + 2p) + -5p = 0
(-8 * -1p + 2p * -1p) + -5p = 0
(8p + -2p2) + -5p = 0

Reorder the terms:
8p + -5p + -2p2 = 0

Combine like terms: 8p + -5p = 3p
3p + -2p2 = 0

Solving
3p + -2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(3 + -2p) = 0

Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(3 + -2p)' equal to zero and attempt to solve:

Simplifying
3 + -2p = 0

Solving
3 + -2p = 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 + -2p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2p = 0 + -3
-2p = 0 + -3

Combine like terms: 0 + -3 = -3
-2p = -3

Divide each side by '-2'.
p = 1.5

Simplifying
p = 1.5
Solution
p = {0, 1.5}