What are the solutions to the equation?
What is the process in the solutions?
(x-2),(x+4)=0
i think it is x=2 and x=-4
i solved for the o product
x - 2 = 0,
x = 2.
x + 4 = 0,
x = -4.
To find the solutions to the equation (x-2)(x+4) = 0, we need to set each factor equal to zero separately and solve for x.
1. First, set the first factor (x-2) equal to zero:
x - 2 = 0
2. Next, add 2 to both sides of the equation to isolate x:
x = 2
3. Now, set the second factor (x+4) equal to zero:
x + 4 = 0
4. Subtract 4 from both sides of the equation to isolate x:
x = -4
So, the solutions to the equation (x-2)(x+4) = 0 are x = 2 and x = -4.
The process for finding the solutions involved setting each factor equal to zero and solving for x independently. This is because if the product of two terms is zero, at least one of the terms must be zero. Therefore, by setting each factor equal to zero, we can find the values of x that satisfy the equation.