3*x^2-2*x-5=31-x
3*x^2-2*x-5=31-x
add x
3*x^2-2*x-5+x=31
subtract 31
3*x^2-2*x-5+x-31=0
3*x^2-2*x+x-36=0
3*x^2-x-36=0
3*x^2-x-36=0
Solve by formula x_1,2=(-b±√(b^2-4*a*c))/(2*a)
x_1,2=(1±√(-1^2-4*3*-36))/(2*3)
x_1,2=(1±√(-1^2+432))/(2*3)
x_1,2=(1±√(-1^2+432))/(2*3)
x_1,2=(1±√(1+432))/(2*3)
x_1,2=(1±√433)/(2*3)
x_1,2=(1±20.809)/(2*3)
x_1=(1+20.809)/(2*3)
x_1=(1+20.809)/(2*3)
x_1=21.809/(2*3)
x_1=1/(2*0)
x_1=3.635
solved for x_1
x_2=(1-20.809)/(2*3)
x_2=-19.809/(2*3)
x_2=1/(2*0)
x_2=-3.301
solved for x_2