Answer:
Assuming you are using the zero product property, x = 2, √(3), -√(3)
Step-by-step explanation:
first I factored the (2x^2-7+1) into 2(x^2 - 3)
I also factored the (3x-6) into 3(x - 2)
Now I have the equation 6(x - 2)(x^2 - 3) = 0
I'll start with the easiest one, which is x - 2 = 0, which gives me 2
Now I solve for x^2 - 3 = 0, and I end up with two answers:
√(3) and -√(3)
So in total, x as 3 answers