x^2-5xy-66y^2=0

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Solution for x^2-5xy-66y^2=0 equation:


Simplifying
x2 + -5xy + -66y2 = 0

Reorder the terms:
-5xy + x2 + -66y2 = 0

Solving
-5xy + x2 + -66y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -11y)(x + 6y) = 0

Subproblem 1

Set the factor '(x + -11y)' equal to zero and attempt to solve: Simplifying x + -11y = 0 Solving x + -11y = 0 Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 x + 0 = 0 + 11y x = 0 + 11y Remove the zero: x = 11y Simplifying x = 11y

Subproblem 2

Set the factor '(x + 6y)' equal to zero and attempt to solve: Simplifying x + 6y = 0 Solving x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 x + 0 = 0 + -6y x = 0 + -6y Remove the zero: x = -6y Simplifying x = -6y

Solution

x = {11y, -6y}

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