# SOLUTION: 6x2 - 13x + 6 = 0

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 Question 60718: 6x2 - 13x + 6 = 0Found 2 solutions by checkley71, funmath:Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!6X^2-13X+6=0 (3X-2)(2X-3)=0 3X-2=0 3X=2 X=2/3 SOLUTION 2X-3=0 2X=3 X=3/2 SOLUTION Answer by funmath(2926)   (Show Source): You can put this solution on YOUR website!6x^2-13x+6=0 We need to factor the left side which is in standard form: a=6, b=-13, and c=6 Replace the middle term with two numbers that multiply to give you a*c=6*6=26, but add to give you b=-13. -4*-9=36 and -4+-9=-13 6x^2-4x-9x+6=0 Factor by grouping (6x^2-4x)+(-9x+6)=0 group 2x(3x-2)-3(3x-2)=0 factor out the GCF in each group (3x-2)(2x-3)=0 Factor the 3x-2 out of each. 3x-2=0 and 2x-3=0 3x=2 and 2x=3 3x/3=2/3 and 2x/2=3/2 x=2/3 and x=3/2 Happy Calculating!!!