Question

|5x|+5=45

can you explain this absloute value equation
i have a midterm

Answer 1

In absolute value you always get 2 answer a positive and a negative
|5x|+5=45
+-5x=40
x=+-8

Answer 2

So first, you get the absolute value to one side:

`|5x|+5=45\\ |5x|=40`

Next, set up two equations; One where the value inside the absolute value lines is positive, and another where it is negative, and solve both for the variable:

`|5x|=40\\5x=40\\x=(40)/(5)=8\\\\-5x=40\\x=(40)/(-5)=-8`

Your answers are 8 and -8, or +-8.