x^2-18xy+45y^2=

Solution for x^2-18xy+45y^2= equation:

Simplifying
x2 + -18xy + 45y2 = 0

Reorder the terms:
-18xy + x2 + 45y2 = 0

Solving
-18xy + x2 + 45y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -15y)(x + -3y) = 0

Subproblem 1
Set the factor '(x + -15y)' equal to zero and attempt to solve:

Simplifying
x + -15y = 0

Solving
x + -15y = 0

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

Add '15y' to each side of the equation.
x + -15y + 15y = 0 + 15y

Combine like terms: -15y + 15y = 0
x + 0 = 0 + 15y
x = 0 + 15y
Remove the zero:
x = 15y

Simplifying
x = 15y
Subproblem 2
Set the factor '(x + -3y)' equal to zero and attempt to solve:

Simplifying
x + -3y = 0

Solving
x + -3y = 0

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

Add '3y' to each side of the equation.
x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
x + 0 = 0 + 3y
x = 0 + 3y
Remove the zero:
x = 3y

Simplifying
x = 3y
Solution
x = {15y, 3y}