Answer
The solutions are -1 and $\frac{2}{9}$.
Work Step by Step
9$x^{2}$+7x=2
9$x^{2}$+7x-2=2-2
9$x^{2}$+7x-2=0
9$x^{2}$+9x-2x-2=0
9x(x+1)-2(x+1)=0
(9x-2)(x+1)=0
9x-2 =0 or x+1=0
9x=2 0r x=-1
x=$\frac{2}{9}$ or x=-1
The solutions are -1 and $\frac{2}{9}$.
Check
Let x= $\frac{2}{9}$
9$x^{2}$+7x=2
9$(2/9)^{2}$+7$\frac{2}{9}$=2
9*4/81+$\frac{14}{9}$=2
1*4/9+$\frac{14}{9}$=2
4/9+$\frac{14}{9}$=2
$\frac{18}{9}$=2
2=2
Let x= -1
9$x^{2}$+7x=2
9(1)+7(-1)=2
9-7=2
2=2
