z^2-12zy+36y^2=

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

Simplifying
z2 + -12zy + 36y2 = 0

Reorder the terms:
-12yz + 36y2 + z2 = 0

Solving
-12yz + 36y2 + z2 = 0

Solving for variable 'y'.

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

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

Simplifying
6y + -1z = 0

Solving
6y + -1z = 0

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

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

Combine like terms: -1z + z = 0
6y + 0 = 0 + z
6y = 0 + z
Remove the zero:
6y = z

Divide each side by '6'.
y = 0.1666666667z

Simplifying
y = 0.1666666667z
Subproblem 2
Set the factor '(6y + -1z)' equal to zero and attempt to solve:

Simplifying
6y + -1z = 0

Solving
6y + -1z = 0

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

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

Combine like terms: -1z + z = 0
6y + 0 = 0 + z
6y = 0 + z
Remove the zero:
6y = z

Divide each side by '6'.
y = 0.1666666667z

Simplifying
y = 0.1666666667z
Solution
y = {0.1666666667z, 0.1666666667z}