Question

2x^2(2x-5)+x(2x-5)+(5-2x)=0

Answer 1

$2x^2(2x-5)+x(2x-5)+(5-2x)=0 \ 2x^2(2x-5)+x(2x-5)-(2x-5)=0 \ (2x-5)(2x^2+x-1)=0 \ \ 1) 2x-5=0 \ 2x=5 \ x_1 = 2,5 \ \ 2) 2x^2+x-1=0 \ D=1+8=9 \ x_2=frac{-1+3}{4}=frac{1}{2} \ x_3=frac{-1-3}{4}=-1$