12x^2-27xy-27y^2=

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Solution for 12x^2-27xy-27y^2= equation:


Simplifying
12x2 + -27xy + -27y2 = 0

Reorder the terms:
-27xy + 12x2 + -27y2 = 0

Solving
-27xy + 12x2 + -27y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-9xy + 4x2 + -9y2) = 0

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

Ignore the factor 3.

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 '(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

Solution

x = {3y, -0.75y}

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