Question

What are the solutions to the equation x(x + 1) = 0?

A. x = 0 only
B. x = 1 only
C. x = 0 or x = 1
D. x = 0 or x = -1

Answer 1

The answer is D.
If x(x + 1) = 0, then if one of the terms equals 0 then the equation will be = 0.
Since we need to find at what number each term equals 0, set the terms equal to 0 and solve:

`x=0\\\\(x+1)=0\\x=-1`
So since when x = 0 or x = -1 the equation is true, those are your answers.