If x ^ 2 - (a + 5) x + 5a-1 can be decomposed into two first-order factors (x + b) (x + C), what is the value? Urgent need

If x ^ 2 - (a + 5) x + 5a-1 can be decomposed into two first-order factors (x + b) (x + C), what is the value? Urgent need

Because X2 - (a + 5) x + 5a-1 = (x + b) (x + C) = x2 + (B + C) x + BC
So B + C = - a-5, BC = 5a-1
By eliminating a, we get (B + 5) (c + 5) = - 1
Because B and C are integers, B = - 4, C = - 6 or B = - 6, C = - 4
So a = 5