# How do you solve #9x^2+11x+18=-10x+8#?

##### 1 Answer

1) Rearrange equation so that it is in the form

2) (Learn by heart and) use the quadratic formula to solve the equation

Answers are, in this case,

#### Explanation:

Ohkay, let's do this.

1) Rearrange every term on one side, say to the left.

We now have:

(the sign-change occurs because the terms "crossed" the equal sign)

Now, you can simplify a bit. We have:

This is a quadratic equation of the form

To solve this, you need the quadratic formula which is, in its general form:

It says

Anyway, applying this formula to our equation, we need to put

we get the following:

i.e.

i.e.

i.e.

so

i.e.

Q.E.D.