Answer
The solutions are 0 and $\frac{3}{2}$.
Work Step by Step
9y=6$y^{2}$
9y-9y=6$y^{2}$-9y
0=6$y^{2}$-9y or
6$y^{2}$-9y=0
3y(2y-3)=0
y=0 or 2y-3=0
y=0 or 2y=3
y=0 or y=$\frac{3}{2}$
The solutions are 0 and $\frac{3}{2}$.
Check
Let x=o
9y=6$y^{2}$
9*0=6*$0^{2}$
0=0
Let x=$\frac{3}{2}$
9y=6$y^{2}$
9$\frac{3}{2}$=6$(3/2)^{2}$
$\frac{27}{2}$=6$\frac{9}{4}$
$\frac{27}{2}$=$\frac{54}{4}$
$\frac{27}{2}$=$\frac{27}{2}$
