Question 464963
6x^2=23x-15
6x^-23x+15=0
6*15=90; two factors of 90 whose sum is -23 are -18 and -5.
6x^2-18x-5x+15=0
6x(x-3)-5(x-3)=0 factoring by grouping.
(6x-5)(x-3)=0
x=5/6, x=3
.
Ed