36x^3y-196xy^3=0

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Solution for 36x^3y-196xy^3=0 equation:


Simplifying
36x3y + -196xy3 = 0

Reorder the terms:
-196xy3 + 36x3y = 0

Solving
-196xy3 + 36x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4xy'.
4xy(-49y2 + 9x2) = 0

Factor a difference between two squares.
4xy((7y + 3x)(-7y + 3x)) = 0

Ignore the factor 4.

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 '(7y + 3x)' equal to zero and attempt to solve: Simplifying 7y + 3x = 0 Reorder the terms: 3x + 7y = 0 Solving 3x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 3x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 3x + 0 = 0 + -7y 3x = 0 + -7y Remove the zero: 3x = -7y Divide each side by '3'. x = -2.333333333y Simplifying x = -2.333333333y

Subproblem 3

Set the factor '(-7y + 3x)' equal to zero and attempt to solve: Simplifying -7y + 3x = 0 Reorder the terms: 3x + -7y = 0 Solving 3x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 3x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 3x + 0 = 0 + 7y 3x = 0 + 7y Remove the zero: 3x = 7y Divide each side by '3'. x = 2.333333333y Simplifying x = 2.333333333y

Solution

x = {-2.333333333y, 2.333333333y}

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