Question

Solve the following equation-
5|x+9|=80​

Answer 1

x = 7, -25

Explanation:

There are 2 solutions to this problem.

First, divide both sides by 5.

`(5|x+9|)/(5) = (80)/(5)`

Simplify.

|x+9| = 16

2 solutions, the definition of absolute value.

x+9 = 16

x+9 = -16

Subtract 9 on both sides.

x + 9 - 9 = 16 - 9

x + 9 - 9 = -16 - 9

x = 7, -25