z^2-12z+36=-16

Solution for z^2-12z+36=-16 equation:

Simplifying
z2 + -12z + 36 = -16

Reorder the terms:
36 + -12z + z2 = -16

Solving
36 + -12z + z2 = -16

Solving for variable 'z'.

Reorder the terms:
36 + 16 + -12z + z2 = -16 + 16

Combine like terms: 36 + 16 = 52
52 + -12z + z2 = -16 + 16

Combine like terms: -16 + 16 = 0
52 + -12z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-52' to each side of the equation.
52 + -12z + -52 + z2 = 0 + -52

Reorder the terms:
52 + -52 + -12z + z2 = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -12z + z2 = 0 + -52
-12z + z2 = 0 + -52

Combine like terms: 0 + -52 = -52
-12z + z2 = -52

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 = -52 + 36

Reorder the terms:
36 + -12z + z2 = -52 + 36

Combine like terms: -52 + 36 = -16
36 + -12z + z2 = -16

Factor a perfect square on the left side:
(z + -6)(z + -6) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.