Question

write a quadratic equation having the given numbers as solutions. -6 and -4

Answer 1

you can work backwards
The first solution gives us:
x = -6
x+6 = 0

The second solution gives us:
x = -4
x + 4= 0

now combine them
(x+6)(x+4) =0

expand the left side

Answer 2

(x+6)(x+4) =0

to expand the left side we can use the distributive rule
a * (b + c) = a*b + a*c

In our problem treat 'x + 6' as 'a'

(x+6)*(x + 4) = (x+6)*x + (x+6)*4

Answer 3

then use distribute law again

Answer 4

(x+6)*(x + 4)
= (x+6)*x + (x+6)*4
= x*x + 6*x + x*4 + 6*4