# How do you use the quadratic formula to solve #-x^2+1=-5x^2+4x#?

##### 1 Answer

#### Answer:

Move all the terms to one side of the equation, then plug it in.

#### Explanation:

To start, move all the terms to one side so on one side of the equation, there is only a 0. You would end up with

From that, you can get that A is equal to 4, B is equal to -4, and C is equal to 1. Plug that into the quadratic equation, which is

After plugging it in, you get

Simplify and you'll get

Keep simplifying and you'll end up with

And that is the value of X.

But there is an easier way. You can factor

Since that is equal to 0, one of the factors must be equal to 0 and since the factors are equal, then there is only one answer. Set