Answer
$$x=4\sqrt{2}+5,\:x=-4\sqrt{2}+5$$
Work Step by Step
Completing the square, we find:
$$x^2-10x-7+\left(-5\right)^2-\left(-5\right)^2 \\ \left(x-5\right)^2-7-\left(-5\right)^2 \\ \left(x-5\right)^2-32 \\ x=4\sqrt{2}+5,\:x=-4\sqrt{2}+5$$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.