Question

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

Answer 1

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