Can someone tell me how to continue from here? I'm stuck

p.s im usiing x for lambda

The matrix of the question is

1 0 -2

-4 -3 2

-1 -2 5

|xI - A| = 0,i get

(x-1) (0) ( 2)

(4) (x+3) -2

(1) (1) (x-5)

Determinant calculation I get

(x-1)(x*2 -2x -13) + (2-2x)

Then I'm stuck here,dont know how to continue.

can someone guide me from here??? The answer i got using the online calculator gave the eigenvalues to be -3,1 & 5.

Pls help..tq...