Which of the following is the complete solution for the equation (x-8) (x+6)=0
1. 8 only
2. 6 only
3. 8 and -6
It would be choice 3. The x in the first parenthesis would be 8, and in the second parenthesis 6.
When x=8 (x-8)=0 (x-8)*(x+6)=0*(x+6=0
When x=-6 (x+6)=0 (x-8)*(x+6)=(x-8)*0=0
Solutions is 8 and -6
To find the complete solution for the equation (x - 8)(x + 6) = 0, we need to find the values of x that satisfy this equation.
First, let's set each factor equal to zero and solve for x:
x - 8 = 0 --> x = 8
x + 6 = 0 --> x = -6
So we have found two possible solutions: x = 8 and x = -6.
Therefore, the complete solution for the equation (x - 8)(x + 6) = 0 is option 3: 8 and -6.