x^2-15xy+56y^2=0

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Solution for x^2-15xy+56y^2=0 equation: 


Simplifying
x2 + -15xy + 56y2 = 0

Reorder the terms:
-15xy + x2 + 56y2 = 0

Solving
-15xy + x2 + 56y2 = 0

Solving for variable 'x'.

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


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

Simplifying
x + -8y = 0

Solving
x + -8y = 0

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

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

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

Simplifying
x = 8y

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 = {8y, 7y}

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