Answer:
x = -4, x = 2
Step-by-step explanation:
This is a quadratic equation, so you can either solve it by factoring or using the quadratic formula. Let's use factoring because this isn't a particularly hard one to factor.
This factors out to (x+4)(x-2), and you can now use the zero product property to find the solutions.
The property states that when two (or any amount) of numbers are being multiplied and the result is zero, at least one of the factors are zero.
The first factor is (x+4), and we need to find out for what value does (x+4) equal to zero. We can set up an equation to figure this out:
x+4 = 0
(Subtract 4 from both sides)
x=-4
The second factor is (x-2), and we need to find out for what value does (x-2) equal to zero. We can set up another equation to figure this out:
x-2 = 0
(Add to to both sides)
x = 2
So the solutions are -4 and 2. Hope this helped!
