0=Z^2+36-12Z

Solution for 0=Z^2+36-12Z equation:

Simplifying
0 = Z2 + 36 + -12Z

Reorder the terms:
0 = 36 + -12Z + Z2

Solving
0 = 36 + -12Z + Z2

Solving for variable 'Z'.

Combine like terms: 0 + -36 = -36
-36 + 12Z + -1Z2 = 36 + -12Z + Z2 + -36 + 12Z + -1Z2

Reorder the terms:
-36 + 12Z + -1Z2 = 36 + -36 + -12Z + 12Z + Z2 + -1Z2

Combine like terms: 36 + -36 = 0
-36 + 12Z + -1Z2 = 0 + -12Z + 12Z + Z2 + -1Z2
-36 + 12Z + -1Z2 = -12Z + 12Z + Z2 + -1Z2

Combine like terms: -12Z + 12Z = 0
-36 + 12Z + -1Z2 = 0 + Z2 + -1Z2
-36 + 12Z + -1Z2 = Z2 + -1Z2

Combine like terms: Z2 + -1Z2 = 0
-36 + 12Z + -1Z2 = 0

Factor a trinomial.
(-6 + Z)(6 + -1Z) = 0

Subproblem 1
Set the factor '(-6 + Z)' equal to zero and attempt to solve:

Simplifying
-6 + Z = 0

Solving
-6 + Z = 0

Move all terms containing Z to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + Z = 0 + 6

Combine like terms: -6 + 6 = 0
0 + Z = 0 + 6
Z = 0 + 6

Combine like terms: 0 + 6 = 6
Z = 6

Simplifying
Z = 6
Subproblem 2
Set the factor '(6 + -1Z)' equal to zero and attempt to solve:

Simplifying
6 + -1Z = 0

Solving
6 + -1Z = 0

Move all terms containing Z to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1Z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1Z = 0 + -6
-1Z = 0 + -6

Combine like terms: 0 + -6 = -6
-1Z = -6

Divide each side by '-1'.
Z = 6

Simplifying
Z = 6
Solution
Z = {6, 6}