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The non-zero roots of the equation Delta...

The non-zero roots of the equation `Delta =|(a,b,ax+b),(b,c,bx+c),(ax+b,bx+c,c)|=0` are

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`C_1->xC_1`
`1/x[[ax,b,ax+b],[bx,c,bx+c],[ax^2+bx,bx+c,c]]=0`
`C_1->C_1+c_2`
`1/x[[ax+b,b,ax+b],[bx+c,c,bx+c],[ax^2+2bx+c,bx+c,c]]=0`
`C_1->C_1-C_3`
`1/x[[0,b,ax+b],[0,c,bx+c],[ax^2+2bx,bx+c,c]]=0`
`1/x[ax^2+2bx(b^2x+bc-acx-bc)]=0`
`1/x(ax^2+2bx)(b^2x-acx)=0`
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