z^2+12z+47=0

Solution for z^2+12z+47=0 equation:

Simplifying
z2 + 12z + 47 = 0

Reorder the terms:
47 + 12z + z2 = 0

Solving
47 + 12z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-47' to each side of the equation.
47 + 12z + -47 + z2 = 0 + -47

Reorder the terms:
47 + -47 + 12z + z2 = 0 + -47

Combine like terms: 47 + -47 = 0
0 + 12z + z2 = 0 + -47
12z + z2 = 0 + -47

Combine like terms: 0 + -47 = -47
12z + z2 = -47

The z term is 12z.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12z + 36 + z2 = -47 + 36

Reorder the terms:
36 + 12z + z2 = -47 + 36

Combine like terms: -47 + 36 = -11
36 + 12z + z2 = -11

Factor a perfect square on the left side:
(z + 6)(z + 6) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.