63yx^3-56(x^2)y^2-7xy^3=0

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Solution for 63yx^3-56(x^2)y^2-7xy^3=0 equation: 


Simplifying
63yx3 + -56(x2) * y2 + -7xy3 = 0

Multiply x2 * y2
63x3y + -56x2y2 + -7xy3 = 0

Reorder the terms:
-7xy3 + -56x2y2 + 63x3y = 0

Solving
-7xy3 + -56x2y2 + 63x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7xy'.
7xy(-1y2 + -8xy + 9x2) = 0

Factor a trinomial.
7xy((-1y + -9x)(y + -1x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1y + -9x)' equal to zero and attempt to solve:

Simplifying
-1y + -9x = 0

Reorder the terms:
-9x + -1y = 0

Solving
-9x + -1y = 0

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

Add 'y' to each side of the equation.
-9x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-9x + 0 = 0 + y
-9x = 0 + y
Remove the zero:
-9x = y

Divide each side by '-9'.
x = -0.1111111111y

Simplifying
x = -0.1111111111y

Subproblem 3
Set the factor '(y + -1x)' equal to zero and attempt to solve:

Simplifying
y + -1x = 0

Reorder the terms:
-1x + y = 0

Solving
-1x + y = 0

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

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

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

Divide each side by '-1'.
x = y

Simplifying
x = y
Solution
x = {-0.1111111111y, y}

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