y^2-xy-56x^2=0

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Solution for y^2-xy-56x^2=0 equation: 


Simplifying
y2 + -1xy + -56x2 = 0

Reorder the terms:
-1xy + -56x2 + y2 = 0

Solving
-1xy + -56x2 + y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7x + -1y)(8x + -1y) = 0


Subproblem 1
Set the factor '(-7x + -1y)' equal to zero and attempt to solve:

Simplifying
-7x + -1y = 0

Solving
-7x + -1y = 0

Move all terms containing x to the left, all other terms to the right.

Add 'y' to each side of the equation.
-7x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-7x + 0 = 0 + y
-7x = 0 + y
Remove the zero:
-7x = y

Divide each side by '-7'.
x = -0.1428571429y

Simplifying
x = -0.1428571429y

Subproblem 2
Set the factor '(8x + -1y)' equal to zero and attempt to solve:

Simplifying
8x + -1y = 0

Solving
8x + -1y = 0

Move all terms containing x to the left, all other terms to the right.

Add 'y' to each side of the equation.
8x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
8x + 0 = 0 + y
8x = 0 + y
Remove the zero:
8x = y

Divide each side by '8'.
x = 0.125y

Simplifying
x = 0.125y
Solution
x = {-0.1428571429y, 0.125y}

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