# Find the solution to the equation x- square root of 8x+15=0?

##### 1 Answer

**answer**

**answer**

#### Explanation:

#\color(fuchsia)\text(Edited )# **solution**

*Assuming you meant*

- Identify square root

#x-\color(crimson)(sqrt(8x+15))=0# - Move the red part to the right side

#x=\color(crimson)(\sqrt(8x+15))# - Now, let's square both both sides

#x^2=(sqrt(8x+15))^2#

#x^2=8x+15# - Move everything to the left

#x^2-(8x+15)=0#

#x^2-8x-15=0# - Solve quadratic (see steps here)

#x=4\pm\sqrt(31)#

also written as#x=4-\sqrt(31)# ,#x=4+\sqrt(31)#

#\color(teal)\text(Original )# **solution**

*Assuming you meant*

Now, let's square both both sides