# How do you solve  x^2 + 2x - 3 = 0?

Apr 4, 2018

$x = - 3$, $x = 1$

Here's how I did it:

#### Explanation:

To solve for $x$, we factor it.
To factor this, you have to find two numbers that multiply up to $- 3$ and add up to $2$.

These two numbers are $3$ and $- 1$:
$3 \cdot - 1 = - 3$
$3 - 1 = 2$

Now we put the equation like this:
$\left(x + 3\right) \left(x - 1\right) = 0$

$x + 3 = 0 \to x = - 3$

$x - 1 = 0 \to x = 1$