For what value if x matrix A= [ x-1 1 1 1 x-1 1 1 1 x-1]is singular matrixx?

Given, matrix A=x-1111x-1111x-1 is singular.We know that, A matrix is singular iff its determinant is zero. So,detA=0x-1x-1x-1-1-11x-1-1+11×1-1x-1=0x-13-x-1-x-2+2-x=0x3-1-3xx-1-x+1-x+2+2-x=0x3-1-3x2+3x-3x+5=0x3-3x2+4=0x+1x-22=0x=-1, and 2

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