The equation (y + 13) (y + a) = 0 has no linear terms. Find the value of a?

The equation (y + 13) (y + a) = 0 has no linear terms. Find the value of a?

Explanation

The equation is:

(y + 13)(y + a) = 0

Expanding it:

y^2 + ay + 13y + 13a = 0

y^2 + (a + 13)y + 13a = 0

For no linear term, the coefficient of y should be 0:

a + 13 = 0

a = -13