Pls help math problem

Factorize: x^2+8x+10 i just solved it but i don't know if the process is correct

Quadrilateral ghjk has vertices g(2, 3), h(8, 2), j(6, 8), and k(3, 6). it is transformed according to the rule t(–4, –5). what are the coordinates of g”? (–7, 3) (–2, 2) (–1, –7) (2, –2)

Which steps could be part of the process in algebraically solving the system of equations, y+5x=x^2+10 and y=4x-10