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

Jun 28, 2016

$x = - 3$ or $x = 1$

#### Explanation:

${x}^{2} + 2 x = 3$

Implies
$\textcolor{w h i t e}{\text{XXX}} {x}^{2} + 2 x - 3 = 0$

which can be factored as
$\textcolor{w h i t e}{\text{XXX}} \left(x + 3\right) \left(x - 1\right) = 0$

which, in turn, implies
either
$\textcolor{w h i t e}{\text{XXX")x+3=0 color(white)("XX")rarrcolor(white)("XX}} x = - 3$
or
$\textcolor{w h i t e}{\text{XXX")x-1=0 color(white)("XX")rarrcolor(white)("XX}} x = 1$

(As always you should substitute these values into the original equation to verify the result).