6x^4y^2-15x^3y^3=0

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Solution for 6x^4y^2-15x^3y^3=0 equation:


Simplifying
6x4y2 + -15x3y3 = 0

Reorder the terms:
-15x3y3 + 6x4y2 = 0

Solving
-15x3y3 + 6x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x3y2'.
3x3y2(-5y + 2x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x3y2' equal to zero and attempt to solve: Simplifying x3y2 = 0 Solving x3y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y2 = 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 '(-5y + 2x)' equal to zero and attempt to solve: Simplifying -5y + 2x = 0 Reorder the terms: 2x + -5y = 0 Solving 2x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 2x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 2x + 0 = 0 + 5y 2x = 0 + 5y Remove the zero: 2x = 5y Divide each side by '2'. x = 2.5y Simplifying x = 2.5y

Solution

x = {2.5y}

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