How many solutions does the equation

|x+7|=0

have?

one solution.

Step-by-step 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.

The equation has one solution, x = - 7.