-p^2(p-11)=

Solution for -p^2(p-11)= equation:

Simplifying
-1p2(p + -11) = 0

Reorder the terms:
-1p2(-11 + p) = 0
(-11 * -1p2 + p * -1p2) = 0
(11p2 + -1p3) = 0

Solving
11p2 + -1p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(11 + -1p) = 0

Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve:

Simplifying
p2 = 0

Solving
p2 = 0

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

Simplifying
p2 = 0

Take the square root of each side:
p = {0}
Subproblem 2
Set the factor '(11 + -1p)' equal to zero and attempt to solve:

Simplifying
11 + -1p = 0

Solving
11 + -1p = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1p = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1p = 0 + -11
-1p = 0 + -11

Combine like terms: 0 + -11 = -11
-1p = -11

Divide each side by '-1'.
p = 11

Simplifying
p = 11
Solution
p = {0, 11}