# How do you solve the quadratic with complex numbers given #-7x^2+12x=10#?

##### 1 Answer

The two solutions are

#### Explanation:

First of all, let's bring everything to one side of the equation. I usually like to have the

which of course is the same equation as

Now, let's set the usual formula for solving a quadratic equation:

where

Let's compute

To compute the square root of

So, the solving formula becomes