Answer
Solution set is $\{0,-5\}$
Work Step by Step
$y^{2} = -5y$
$y^{2} +5y=0$
$y(y+5)=0$
Applying zero factor property,
$y = 0$
or
$y+5=0$
$y= -5$
Solution set is $\{0,-5\}$
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