\(\frac{3x^2+2x+1}{x-1}=3x+1\)
Multiply both sides by (x - 1).
3x2 + 2x + 1 = (3x + 1)(x - 1)
Multiply out the left side.
3x2 + 2x + 1 = 3x2 - 3x + x - 1
Combine like terms.
3x2 + 2x + 1 = 3x2 - 2x - 1
Subtract 3x2 from both sides.
2x + 1 = -2x - 1
Add 2x to both sides.
4x + 1 = -1
Subtract 1 from both sides.
4x = -2
Divide both sides by 4.
x = -2/4
x = -1/2