81y^2-18yz+z^2=

Solution for 81y^2-18yz+z^2= equation:

Simplifying
81y2 + -18yz + z2 = 0

Reorder the terms:
-18yz + 81y2 + z2 = 0

Solving
-18yz + 81y2 + z2 = 0

Solving for variable 'y'.

Factor a trinomial.
(9y + -1z)(9y + -1z) = 0

Subproblem 1
Set the factor '(9y + -1z)' equal to zero and attempt to solve:

Simplifying
9y + -1z = 0

Solving
9y + -1z = 0

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

Add 'z' to each side of the equation.
9y + -1z + z = 0 + z

Combine like terms: -1z + z = 0
9y + 0 = 0 + z
9y = 0 + z
Remove the zero:
9y = z

Divide each side by '9'.
y = 0.1111111111z

Simplifying
y = 0.1111111111z
Subproblem 2
Set the factor '(9y + -1z)' equal to zero and attempt to solve:

Simplifying
9y + -1z = 0

Solving
9y + -1z = 0

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

Add 'z' to each side of the equation.
9y + -1z + z = 0 + z

Combine like terms: -1z + z = 0
9y + 0 = 0 + z
9y = 0 + z
Remove the zero:
9y = z

Divide each side by '9'.
y = 0.1111111111z

Simplifying
y = 0.1111111111z
Solution
y = {0.1111111111z, 0.1111111111z}