Question

2/3×x = -1/6×x² -1/3

Answer 1

2/3 x=-1/6 x^2-1/3
2/3 x=-x^2/6-2/6
12/3 x=-x^2-2
4 x=-x^2-2
4 x+x^2+2=0
x=-2+2^1/2,-2-2^1/2

Answer 2

2/3x=-1/6x²-1/3
=>1/6x²+2/3x+1/3=0
=>(x²+4x+2)/6=0
=>x²+4x+2=0
=>x²+(2+2)x+2=0
=>x²+2x+2x+2=0
=>x(x+2)+2(x+1)
=>(x+2)(x+1)
=x=-2 and x=-1