Solve the equation by factoring.

-6x - 2 = (3x + 1)^{2}

On the LHS, -6x-2=-2(3x+1), and on the RHS, it is (3x+1)^2. So common term is (3x+1).

by factoring 3x+1, you can get (3x+1)^2+2(3x+1)=0

(3x+1)(3x+1+2)=0

(3x+1)(3x+3)=0

therefore, x=-1/3 or x=-1

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