# How do you solve #2x^2 + 10x = 0#?

##### 2 Answers

#### Explanation:

Typically you would use the quadratic formula, using

However, notice that the constant is missing. In those cases, you can factor out a

When a product is equal to

So in our case, either

Therefore, the roots to this equation, are

Factor

This can be true only if

#### Explanation:

Remember this technique for those equations that have no constant term (

Since both the remaining terms have

Solve the monomial that remains in the product by setting it equal to zero. The idea is that the entire expression can only equal zero if one of the two factors