Question

|x+4|+10=21

solve the following

Answer 1

Answer:x1=-15;x2=7

Explanation:

|x+4|+10=21

|x+4|=21-10

|x+4|=11

x+4=11

x+4=-11

x=7

x+4=11

x=7

×=-15

The equation has 2 solutions

x1=-15 x2=7

Answer 2

Answer: x = 7, x = -15

Explanation:

This is an absolute value equation, so it has to be simplified first

|x+4|+10=21

|x+4|=11

Then you set it equal to the two values it can be, getting rid of the absolute value sign.

x+4=11

x+4=-11

x = 7

x = -15

Voila!