x^2+xy-12y^2=0

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


Simplifying
x2 + xy + -12y2 = 0

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

Solving
xy + x2 + -12y2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(x + 4y)' equal to zero and attempt to solve: Simplifying x + 4y = 0 Solving x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x + 0 = 0 + -4y x = 0 + -4y Remove the zero: x = -4y Simplifying x = -4y

Solution

x = {3y, -4y}

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