7xy(5x^2-y^2)=0

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Solution for 7xy(5x^2-y^2)=0 equation:


Simplifying
7xy(5x2 + -1y2) = 0
(5x2 * 7xy + -1y2 * 7xy) = 0

Reorder the terms:
(-7xy3 + 35x3y) = 0
(-7xy3 + 35x3y) = 0

Solving
-7xy3 + 35x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7xy'.
7xy(-1y2 + 5x2) = 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 '(-1y2 + 5x2)' equal to zero and attempt to solve: Simplifying -1y2 + 5x2 = 0 Reorder the terms: 5x2 + -1y2 = 0 Solving 5x2 + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. 5x2 + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 5x2 + 0 = 0 + y2 5x2 = 0 + y2 Remove the zero: 5x2 = y2 Divide each side by '5'. x2 = 0.2y2 Simplifying x2 = 0.2y2 Take the square root of each side: x = {-0.447213596y, 0.447213596y}

Solution

x = {-0.447213596y, 0.447213596y}

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