12z-1z=z^2+35

Solution for 12z-1z=z^2+35 equation:

Simplifying
12z + -1z = z2 + 35

Combine like terms: 12z + -1z = 11z
11z = z2 + 35

Reorder the terms:
11z = 35 + z2

Solving
11z = 35 + z2

Solving for variable 'z'.

Reorder the terms:
-35 + 11z + -1z2 = 35 + z2 + -35 + -1z2

Reorder the terms:
-35 + 11z + -1z2 = 35 + -35 + z2 + -1z2

Combine like terms: 35 + -35 = 0
-35 + 11z + -1z2 = 0 + z2 + -1z2
-35 + 11z + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-35 + 11z + -1z2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
35 + -11z + z2 = 0

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + -11z + -35 + z2 = 0 + -35

Reorder the terms:
35 + -35 + -11z + z2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -11z + z2 = 0 + -35
-11z + z2 = 0 + -35

Combine like terms: 0 + -35 = -35
-11z + z2 = -35

The z term is -11z.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11z + 30.25 + z2 = -35 + 30.25

Reorder the terms:
30.25 + -11z + z2 = -35 + 30.25

Combine like terms: -35 + 30.25 = -4.75
30.25 + -11z + z2 = -4.75

Factor a perfect square on the left side:
(z + -5.5)(z + -5.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.