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

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


Simplifying
7x2 + -6xy + -1y2 = 0

Reorder the terms:
-6xy + 7x2 + -1y2 = 0

Solving
-6xy + 7x2 + -1y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -1y)(7x + y) = 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 '(7x + y)' equal to zero and attempt to solve: Simplifying 7x + y = 0 Solving 7x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 7x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 7x + 0 = 0 + -1y 7x = 0 + -1y Remove the zero: 7x = -1y Divide each side by '7'. x = -0.1428571429y Simplifying x = -0.1428571429y

Solution

x = {y, -0.1428571429y}

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