x^2-11xy-12y^2=

Solution for x^2-11xy-12y^2= equation:

Simplifying
x2 + -11xy + -12y2 = 0

Reorder the terms:
-11xy + x2 + -12y2 = 0

Solving
-11xy + x2 + -12y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -12y)(x + y) = 0

Subproblem 1
Set the factor '(x + -12y)' equal to zero and attempt to solve:

Simplifying
x + -12y = 0

Solving
x + -12y = 0

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

Add '12y' to each side of the equation.
x + -12y + 12y = 0 + 12y

Combine like terms: -12y + 12y = 0
x + 0 = 0 + 12y
x = 0 + 12y
Remove the zero:
x = 12y

Simplifying
x = 12y
Subproblem 2
Set the factor '(x + y)' equal to zero and attempt to solve:

Simplifying
x + y = 0

Solving
x + y = 0

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

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

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

Simplifying
x = -1y
Solution
x = {12y, -1y}