Answer
x = -6 and 1
Work Step by Step
x(2+$\frac{6}{x}$)=x(x+7)
2x+6=$x^{2}$+7x
0=$x^{2}$+7x-2x-6
0=$x^{2}$+5x-6
0=$x^{2}$+6x-x-6
0=x(x+6)-1(x+6)
0=(x-1)(x+6)
x-1=0 or x+6=0
x=1 or x=-6
Check x=1
1(2+$\frac{6}{1}$)=1(1+7)
2+6=1*8
8=8
Check x=-6
-6(2+$\frac{6}{-6}$)=-6(-6+7)
-6(2-1)=-6*1
-6*1=-6
-6=-6
