36x^2-11xy-12y^2=0

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Solution for 36x^2-11xy-12y^2=0 equation: 


Simplifying
36x2 + -11xy + -12y2 = 0

Reorder the terms:
-11xy + 36x2 + -12y2 = 0

Solving
-11xy + 36x2 + -12y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -3y)(9x + 4y) = 0


Subproblem 1
Set the factor '(4x + -3y)' equal to zero and attempt to solve:

Simplifying
4x + -3y = 0

Solving
4x + -3y = 0

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

Add '3y' to each side of the equation.
4x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
4x + 0 = 0 + 3y
4x = 0 + 3y
Remove the zero:
4x = 3y

Divide each side by '4'.
x = 0.75y

Simplifying
x = 0.75y

Subproblem 2
Set the factor '(9x + 4y)' equal to zero and attempt to solve:

Simplifying
9x + 4y = 0

Solving
9x + 4y = 0

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

Add '-4y' to each side of the equation.
9x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
9x + 0 = 0 + -4y
9x = 0 + -4y
Remove the zero:
9x = -4y

Divide each side by '9'.
x = -0.4444444444y

Simplifying
x = -0.4444444444y
Solution
x = {0.75y, -0.4444444444y}

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