z^2=z-12

Solution for z^2=z-12 equation:

Simplifying
z2 = z + -12

Reorder the terms:
z2 = -12 + z

Solving
z2 = -12 + z

Solving for variable 'z'.

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

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

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

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

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -1z + -12 + z2 = 0 + -12

Reorder the terms:
12 + -12 + -1z + z2 = 0 + -12

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

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

The z term is -1z.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1z + 0.25 + z2 = -12 + 0.25

Reorder the terms:
0.25 + -1z + z2 = -12 + 0.25

Combine like terms: -12 + 0.25 = -11.75
0.25 + -1z + z2 = -11.75

Factor a perfect square on the left side:
(z + -0.5)(z + -0.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.