find the solution set

a^2-8a+12=0

separate the two values with a comma

A^2-8a+12=0 (this is of the form ax^2+bx+c)

find jk=ac=12 and j+k=b=-8, then j and k must be - 2 and - 6

now replace - 8a with - 2a and - 6a

a^2-2a-6a+12=0 now factor 1st and 2nd pair of terms ...

a (a-2) - 6 (a-2) = 0 which is equal to

(a-6) (a-2) = 0

So a = (2, 6)

Hi again

a² - 8a + 12 = 0

Factor left side

(a - 2) (a - 6) = 0

Now we should set factors equal to 0

a - 2 = 0 or a - 6 = 0

a = 0 + 2 0r a = 0 + 6

a = 2 or a = 6

Answer : A = 2 or a = 6 >>> (2,6)