x^2-3xy-88y^2=0

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Solution for x^2-3xy-88y^2=0 equation:


Simplifying
x2 + -3xy + -88y2 = 0

Reorder the terms:
-3xy + x2 + -88y2 = 0

Solving
-3xy + x2 + -88y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -11y)(x + 8y) = 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 + 8y)' equal to zero and attempt to solve: Simplifying x + 8y = 0 Solving x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 x + 0 = 0 + -8y x = 0 + -8y Remove the zero: x = -8y Simplifying x = -8y

Solution

x = {11y, -8y}

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