# How do you solve #(s+1)^2/10-12/5=15/2#?

##### 1 Answer

#### Explanation:

**Given:**

**We want to isolate the #(s+1)^2# term in order to solve for s**

**First add #12/5# to both sides:**

**On the left hand side, the #-12/5# and #+12/5# add to #0#:**

**And on the right hand side, we need to find a common denominator to add the fractions:**

**Next we multiple both sides by 10 to isolate the #(s+1)^2# term**

**Which gives**

**Square root both sides of the equation**

**Which gives**

**NOTE: When taking the square root of any term, the answer can be both negative (-) and positive (+). When you raise a negative number to the second (2) power, the negative multiplies out to give a positive answer.**

**Now, simplifying the answer, and subtracting 1 from both sides**

**9 is a perfect square, with a square root value of 3, so the answer can be simplified to**