x^2+6xy-7y^2=0

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Solution for x^2+6xy-7y^2=0 equation:


Simplifying
x2 + 6xy + -7y2 = 0

Reorder the terms:
6xy + x2 + -7y2 = 0

Solving
6xy + x2 + -7y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -1y)(x + 7y) = 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 '(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

Solution

x = {y, -7y}

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