21x^3y+35xy^3=0

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Solution for 21x^3y+35xy^3=0 equation:


Simplifying
21x3y + 35xy3 = 0

Reorder the terms:
35xy3 + 21x3y = 0

Solving
35xy3 + 21x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7xy'.
7xy(5y2 + 3x2) = 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 '(5y2 + 3x2)' equal to zero and attempt to solve: Simplifying 5y2 + 3x2 = 0 Reorder the terms: 3x2 + 5y2 = 0 Solving 3x2 + 5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y2' to each side of the equation. 3x2 + 5y2 + -5y2 = 0 + -5y2 Combine like terms: 5y2 + -5y2 = 0 3x2 + 0 = 0 + -5y2 3x2 = 0 + -5y2 Remove the zero: 3x2 = -5y2 Divide each side by '3'. x2 = -1.666666667y2 Simplifying x2 = -1.666666667y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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