Question

x(2x - 1) (x - 2) + 6 = 4 (x + 1)

Answer 1

x(2x-1) + 6=4(x+1)
2x² -x +6 = 4x +4
2x² -x -4x +6 -4 =0
2x² -5x +2 =0

a= 2     b= -5    c= +2

Δ= b² -4.a.c= (-5)² -4.(2).(+2)= 25 -16= 9


x= (-b +- √Δ)/2.a
x= [-(-5) +- √9]/2.2
x= [+5 +- 3]/4
x'=[5+3]/4 = 8/4= 2
x"=[5-3]/4= 2/4       simplificando 2 e 4 por 2=   1/2