What are the solutions to the equation (x-6)(x + 8) = 0?
o x=-6 or x = 8
o x=-6 or x = -8
o x= 6 or x = -8
o x = 6 or x = 8

The correct option is C

Step-by-step explanation:

First of all multiply the terms:

(x-6)(x+8)=0

x^2+8x-6x-48=0

Now solve the like terms:

x^2+2x-48=0

Now we will solve this quadratic equation by factoring:

The first terms has coefficient 1. So 1 will be multiplied by the constant term 48.

1*48= 48

Now we have to find out the two values whose product is 48 and whose sum or difference is 2(middle term).

8*6 = 48

8-6 = 2

Now break the middle term:

x^2+8x-6x-48 = 0

Now take the common from the first two and last two terms:

x(x+8)-6(x+8) = 0

(x+8)(x-6)=0

x+8=0     , x-6=0

x= 0-8     , x=0+6

x = -8    , x=6

Thus the solutions we get are: x=6 or x= -8

The correct option is C

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