The solution set for -p^2 − 11p = 0 is { }.

The solution set:  {0, -11} .


Given:  -p² − 11p = 0 ;

Multiply EACH SIDE of the equation by "-1" ; to get rid of the "negative" value ;

-1 * { -p² − 11p = 0 } ;

to get:

 p² + 11p = 0 ;

On the "left-hand side" of the equation, factor out a "p" ;

p(p + 11) = 0 ;

p = 0 ;

p = -11 .

The solution set:  {0, -11} .