Concept:Rearrange the equation into standard quadratic form and solve by factorisation.Explanation:Start with 6k2=5k+6.Bring all terms to one side:6k2−5k−6=0.Factorise the quadratic by splitting the middle term:−5k=−9k+4k.So we write:6k2−9k+4k−6=0.Group the terms:3k(2k−3)+2(2k−3)=0.Factor out (2k−3):(3k+2)(2k−3)=0.Set each factor equal to zero:3k+2=0⇒k=−32.2k−3=0⇒k=23.Answer:k=−32 or k=23, so the solution set is {−32,23}, which is Option B.