# How do you Identify the solutions to the equation #2x^2+5x=3# when you solve by factoring?

##### 1 Answer

#### Explanation:

Firstly we note that it is a quadratic.( has

Find factors of 2 and 3 which subtract to give 5.

The signs will be different, there must be more positives.

As both 2 and 3 are prime numbers there are only 2 possibilities.

Cross multiply the factors:

we have the correct factors, now put in the correct signs.

The factors are:

One of the factors must be 0 to give a product of 0.