# SOLUTION: solve the proportion. check for extranious solutions. 2/6x+1 = 2x/1 thanks :)

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 143456: solve the proportion. check for extranious solutions. 2/6x+1 = 2x/1 thanks :)Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website!2/(6x+1) = 2x/1 I assume that this is the problem. 2/(6x+1) = 2x 2=2x(6x+1) 12x^2+2x=2 12x^2+2x-2=0 2(6x^2+x-1)=0 6x^2+3x-2x-1=0 6*-1=-6 What factors of -6 add up to +1? Ans: +3 and -2 3x(2x+1)-(2x+1)=0 Factoring by grouping. (3x-1)(2x+1)=0 . 3x=1 x=1/3 . 2x=-1 x=-1/2 . Check: 2/(6x+1) = 2x 2/(2+1)=2/3 true . 2/(6x+1) = 2x 2/(-3+1)=-1 true . Ed