111=z^2+11

Solution for 111=z^2+11 equation:

Simplifying
111 = z2 + 11

Reorder the terms:
111 = 11 + z2

Solving
111 = 11 + z2

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-1z2' to each side of the equation.
111 + -1z2 = 11 + z2 + -1z2

Combine like terms: z2 + -1z2 = 0
111 + -1z2 = 11 + 0
111 + -1z2 = 11

Add '-111' to each side of the equation.
111 + -111 + -1z2 = 11 + -111

Combine like terms: 111 + -111 = 0
0 + -1z2 = 11 + -111
-1z2 = 11 + -111

Combine like terms: 11 + -111 = -100
-1z2 = -100

Divide each side by '-1'.
z2 = 100

Simplifying
z2 = 100

Take the square root of each side:
z = {-10, 10}