Math Question 12.1.17

Show that the equation represents a sphere and find its center and radius:
x² + y² + z² = x + y + z
0 = x + y + z - x² - y² - z²
0 = x - x² + y - y² + z - z²
-.75 = (-x² + x - .75) + (-y² + y - .75) + (-z² + z - .75)
-.75 = (x*i - i/2)² + (y*i - i/2)² + (z*i - i/2)²

OMG what? Hypersphere? I have no way of parsing this answer. The algebra checks out.