x^2-6xy-55y^2=

Solution for x^2-6xy-55y^2= equation:

Simplifying
x2 + -6xy + -55y2 = 0

Reorder the terms:
-6xy + x2 + -55y2 = 0

Solving
-6xy + x2 + -55y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -11y)(x + 5y) = 0

Subproblem 1
Set the factor '(x + -11y)' equal to zero and attempt to solve:

Simplifying
x + -11y = 0

Solving
x + -11y = 0

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

Add '11y' to each side of the equation.
x + -11y + 11y = 0 + 11y

Combine like terms: -11y + 11y = 0
x + 0 = 0 + 11y
x = 0 + 11y
Remove the zero:
x = 11y

Simplifying
x = 11y
Subproblem 2
Set the factor '(x + 5y)' equal to zero and attempt to solve:

Simplifying
x + 5y = 0

Solving
x + 5y = 0

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

Add '-5y' to each side of the equation.
x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
x + 0 = 0 + -5y
x = 0 + -5y
Remove the zero:
x = -5y

Simplifying
x = -5y
Solution
x = {11y, -5y}