9x^2-16xy-4y^2=0

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Solution for 9x^2-16xy-4y^2=0 equation:


Simplifying
9x2 + -16xy + -4y2 = 0

Reorder the terms:
-16xy + 9x2 + -4y2 = 0

Solving
-16xy + 9x2 + -4y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -2y)(9x + 2y) = 0

Subproblem 1

Set the factor '(x + -2y)' equal to zero and attempt to solve: Simplifying x + -2y = 0 Solving x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x + 0 = 0 + 2y x = 0 + 2y Remove the zero: x = 2y Simplifying x = 2y

Subproblem 2

Set the factor '(9x + 2y)' equal to zero and attempt to solve: Simplifying 9x + 2y = 0 Solving 9x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 9x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 9x + 0 = 0 + -2y 9x = 0 + -2y Remove the zero: 9x = -2y Divide each side by '9'. x = -0.2222222222y Simplifying x = -0.2222222222y

Solution

x = {2y, -0.2222222222y}

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