# How do you factor 2x^2-50?

you can divide by $2$ and get: ${x}^{2} - 25 = 0$;
So, there are now two numbers that can be used into your equation: $+ 5$ and $- 5$, so you get (remembering the $2$ you used before):
$2 \left(x - 5\right) \left(x + 5\right)$