(2x-5)(9x2-4)-(9x2-4)(x-8)=0
(9x2-4)[(2x-5)-(x-8)=0
(9x2-4)(2x-5-x+8)=0
(9x2-4)(2x-5-x+8)=0
(9x2-4)(x+3)=0
9x^2+27x-4x-12=0
9x^2+23x-12=0
\Delta=b^2-4ac=23^2-4*9*(-12)=529+432=961
\sqrt{\Delta}=31
x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-23-31}{18}=\frac{-54}{18}=-3
x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-23+31}{18}=\frac{8}{18}=\frac{4}{9}