Answer
The factors on the left side of the equation can only be equated to zero if the right side of the equation is zero.
Work Step by Step
The factors on the left side of the equation can only be equated to zero if the right side of the equation is zero.
The correct solution is:
$\\y(y-5)=-6
\\y^2-5y=-6
\\y^2-5y+6=0$
Factor the trinomial. The factors of 6 whose sum is -5 are $-3$ and $-3$. Thus, the factored form of the trinomial is:
$\\(y-3)(y-2)=0$
Equate each factor to zero then solve each equation to have:
$\\y-3=0 \text{ or } y-2=0
\\y=3 \text{ or } y=2$
