4x^3-7x^2+2x+1=0
4x^3-4x^2-3x^2+3x-x+1=0
4x^2(x-1)-3x(x-1)-(x-1)=0
(x-1)(4x^2-3x-1)=0
(x-1)(4x^2+x-4x-1)=0
(x-1)(x(4x+1)-(4x+1))=0
(x-1)(4x+1)(x-1)=0
(x-1)^2(4x+1)=0
(x-1)^2=0
4x+1=0
x=1
x=-1/4
x1=-1/4 x2=1
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4x^3-7x^2+2x+1=0
4x^3-4x^2-3x^2+3x-x+1=0
4x^2(x-1)-3x(x-1)-(x-1)=0
(x-1)(4x^2-3x-1)=0
(x-1)(4x^2+x-4x-1)=0
(x-1)(x(4x+1)-(4x+1))=0
(x-1)(4x+1)(x-1)=0
(x-1)^2(4x+1)=0
(x-1)^2=0
4x+1=0
x=1
x=-1/4
x1=-1/4 x2=1