x^2+11xy-80y^2=0

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Solution for x^2+11xy-80y^2=0 equation:


Simplifying
x2 + 11xy + -80y2 = 0

Reorder the terms:
11xy + x2 + -80y2 = 0

Solving
11xy + x2 + -80y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -5y)(x + 16y) = 0

Subproblem 1

Set the factor '(x + -5y)' equal to zero and attempt to solve: Simplifying x + -5y = 0 Solving x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 x + 0 = 0 + 5y x = 0 + 5y Remove the zero: x = 5y Simplifying x = 5y

Subproblem 2

Set the factor '(x + 16y)' equal to zero and attempt to solve: Simplifying x + 16y = 0 Solving x + 16y = 0 Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. x + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 x + 0 = 0 + -16y x = 0 + -16y Remove the zero: x = -16y Simplifying x = -16y

Solution

x = {5y, -16y}

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