z^2+36=12z-1

Solution for z^2+36=12z-1 equation:

Simplifying
z2 + 36 = 12z + -1

Reorder the terms:
36 + z2 = 12z + -1

Reorder the terms:
36 + z2 = -1 + 12z

Solving
36 + z2 = -1 + 12z

Solving for variable 'z'.

Reorder the terms:
36 + 1 + -12z + z2 = -1 + 12z + 1 + -12z

Combine like terms: 36 + 1 = 37
37 + -12z + z2 = -1 + 12z + 1 + -12z

Reorder the terms:
37 + -12z + z2 = -1 + 1 + 12z + -12z

Combine like terms: -1 + 1 = 0
37 + -12z + z2 = 0 + 12z + -12z
37 + -12z + z2 = 12z + -12z

Combine like terms: 12z + -12z = 0
37 + -12z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + -12z + -37 + z2 = 0 + -37

Reorder the terms:
37 + -37 + -12z + z2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -12z + z2 = 0 + -37
-12z + z2 = 0 + -37

Combine like terms: 0 + -37 = -37
-12z + z2 = -37

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 = -37 + 36

Reorder the terms:
36 + -12z + z2 = -37 + 36

Combine like terms: -37 + 36 = -1
36 + -12z + z2 = -1

Factor a perfect square on the left side:
(z + -6)(z + -6) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.