9x^2-8xy-y^2=0

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Solution for 9x^2-8xy-y^2=0 equation:


Simplifying
9x2 + -8xy + -1y2 = 0

Reorder the terms:
-8xy + 9x2 + -1y2 = 0

Solving
-8xy + 9x2 + -1y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -1y)(9x + y) = 0

Subproblem 1

Set the factor '(x + -1y)' equal to zero and attempt to solve: Simplifying x + -1y = 0 Solving x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 0 = 0 + y x = 0 + y Remove the zero: x = y Simplifying x = y

Subproblem 2

Set the factor '(9x + y)' equal to zero and attempt to solve: Simplifying 9x + y = 0 Solving 9x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 9x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 9x + 0 = 0 + -1y 9x = 0 + -1y Remove the zero: 9x = -1y Divide each side by '9'. x = -0.1111111111y Simplifying x = -0.1111111111y

Solution

x = {y, -0.1111111111y}

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