x^2-5xy-14y^2=

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Solution for x^2-5xy-14y^2= equation:


Simplifying
x2 + -5xy + -14y2 = 0

Reorder the terms:
-5xy + x2 + -14y2 = 0

Solving
-5xy + x2 + -14y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -7y)(x + 2y) = 0

Subproblem 1

Set the factor '(x + -7y)' equal to zero and attempt to solve: Simplifying x + -7y = 0 Solving x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 x + 0 = 0 + 7y x = 0 + 7y Remove the zero: x = 7y Simplifying x = 7y

Subproblem 2

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

Solution

x = {7y, -2y}

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