# How do you solve #100x^2-800x+1500=0#?

##### 2 Answers

#### Explanation:

First, divide both sides of the equation by

Now we can play with multipliers of 15 (1x15, 3x5, 5x3, 15x1) to factor the quadratic equation:

We can now solve each term for

and

#### Explanation:

If

then (after dividing both sides by

We would like to factor this in the form:

and since

we are looking for values of

such that

and

Checking factors of

So we have

From which it follows that