# How do you solve #-16x ^ { 2} = 12x ^ { 2} + 24x + 5#?

##### 2 Answers

#### Explanation:

In order to solve this equation, first we will have to convert it into the general form,

So,

Now, we will use the Quadratic Formula or Sridhar Acharya's Formula, to solve for the two roots.

Here, Discriminant =

So, the equation will have two real and distinct roots.

Now, Applying the Formula,

and,

So, the two roots of the equation are

See a solution process below:

#### Explanation:

First, add

Next. we can factor the left side of the equation as:

Now, we can solve each term on the left for

**Solution 1:**

**Solution 2:**

**The Solution Is:**