Question

How many solutions does the equation
|x+7|=0
have?

Answer 1

one solution.

Explanation:

The given equation is |x+7|=0

When we eliminate the absolute sign then we'll get below two equations

x + 7 = 0 and x + 7 = -0

Let us solve these two equations.

x + 7 = 0

Subtract 7 to both sides

x = -7

Now, solve the second equation

x + 7 = -0

Subtract 7 to both sides

x = -0-7

x=-7

Therefore, the solution is x = -7 and hence, we can conclude that the equation |x+7|=0 have only one solution.

Answer 2

The equation has one solution, x = -7.