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Verified Answer :

MatCauthon

There are two solutions. If you factor a -p out of the equation, you can easily see this. (-p)(p + 11) = 0. The values of p that make this true are 0 and -11.

{0, -11}

SociometricStar

Answer:

the solution set is {0,-11}

Step-by-step explanation:

The equation is \(-p^2-11p=0\)

The GCF of the left hand side of the expression is -p. Hence, factored out the GCF

\(-p(p+11)=0\)

Now, apply the zero product property, we get

\(-p=0,p+11=0\)

Now, solve the equations for p

\(p=0,p=-11\)

Thus, the solution set is {0,-11}