9x^3y-74xy^3=0

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Solution for 9x^3y-74xy^3=0 equation:


Simplifying
9x3y + -74xy3 = 0

Reorder the terms:
-74xy3 + 9x3y = 0

Solving
-74xy3 + 9x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-74y2 + 9x2) = 0

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 '(-74y2 + 9x2)' equal to zero and attempt to solve: Simplifying -74y2 + 9x2 = 0 Reorder the terms: 9x2 + -74y2 = 0 Solving 9x2 + -74y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '74y2' to each side of the equation. 9x2 + -74y2 + 74y2 = 0 + 74y2 Combine like terms: -74y2 + 74y2 = 0 9x2 + 0 = 0 + 74y2 9x2 = 0 + 74y2 Remove the zero: 9x2 = 74y2 Divide each side by '9'. x2 = 8.222222222y2 Simplifying x2 = 8.222222222y2 Take the square root of each side: x = {-2.867441756y, 2.867441756y}

Solution

x = {-2.867441756y, 2.867441756y}

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