# How do you solve x^2 - 10x = 1575 by completing the square?

$\implies {x}^{2} - 2 \times 5 \times x + {5}^{2} - 25 = 1575$
$\implies {\left(x - 5\right)}^{2} = 1575 + 25$
$\implies {\left(x - 5\right)}^{2} = 1600$
$\implies \left(x - 5\right) = \pm \sqrt{1600} = \pm 400$
$: x = 405 \mathmr{and} x = - 395$