What is the only solution for 2x to the second power + 8x equals x to the second power - 16

Step-by-step explanation:

we are given equation as

Since, we have to solve for x

so, we will make all terms on left side

add both sides 16

Subtract both sides by x^2

now, we can factor it

now, we can solve for x

and we get

The only solution of given equation is x=-4.

Step-by-step explanation:

The given equation is

Therefore the only solution of given equation is x=-4.

the first option is the answer.