Respuesta :

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 [tex]-p^2-11p=0[/tex]

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

[tex]-p(p+11)=0[/tex]

Now, apply the zero product property, we get

[tex]-p=0,p+11=0[/tex]

Now, solve the equations for p

[tex]p=0,p=-11[/tex]

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