Concept:Rearrange the quadratic equation to standard form and solve by factorization.Explanation:Start with 6x2=5x−1.Bring all terms to one side:6x2−5x+1=0.Find two numbers whose product is 6×1=6 and sum is −5.The numbers are −3 and −2.Rewrite the middle term:6x2−3x−2x+1=0.Group the terms:(6x2−3x)+(−2x+1)=0.Factor each group:3x(2x−1)−1(2x−1)=0.Factor out (2x−1):(3x−1)(2x−1)=0.Set each factor to zero:3x−1=0⇒x=31.2x−1=0⇒x=21.Answer:x=21,31Hence, the correct option is C.