How do you factor and solve x^2 - 10x = -16?

Aug 5, 2016

$\left(x - 8\right) \left(x - 2\right) = 0$
$x = 8 \mathmr{and} x = 2$

Explanation:

Make quadratic equations equal to 0.

${x}^{2} - 10 x + 16 = 0 \text{ find factors of 16 which add up to 10}$

The signs are the same, they are both minus.

$\left(x - 8\right) \left(x - 2\right)$

Either factor can be equal to 0.
$x - 8 = 0 , \Rightarrow x = 8$
$x - 2 = 0 , \Rightarrow x = 2$