x^2-10xy-56y^2=0

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Solution for x^2-10xy-56y^2=0 equation: 


Simplifying
x2 + -10xy + -56y2 = 0

Reorder the terms:
-10xy + x2 + -56y2 = 0

Solving
-10xy + x2 + -56y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -14y)(x + 4y) = 0


Subproblem 1
Set the factor '(x + -14y)' equal to zero and attempt to solve:

Simplifying
x + -14y = 0

Solving
x + -14y = 0

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

Add '14y' to each side of the equation.
x + -14y + 14y = 0 + 14y

Combine like terms: -14y + 14y = 0
x + 0 = 0 + 14y
x = 0 + 14y
Remove the zero:
x = 14y

Simplifying
x = 14y

Subproblem 2
Set the factor '(x + 4y)' equal to zero and attempt to solve:

Simplifying
x + 4y = 0

Solving
x + 4y = 0

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

Add '-4y' to each side of the equation.
x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
x + 0 = 0 + -4y
x = 0 + -4y
Remove the zero:
x = -4y

Simplifying
x = -4y
Solution
x = {14y, -4y}

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