24x^2y^3+36x^4-72x^3y^2=0

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Solution for 24x^2y^3+36x^4-72x^3y^2=0 equation: 


Simplifying
24x2y3 + 36x4 + -72x3y2 = 0

Reorder the terms:
24x2y3 + -72x3y2 + 36x4 = 0

Solving
24x2y3 + -72x3y2 + 36x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x2'.
12x2(2y3 + -6xy2 + 3x2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(2y3 + -6xy2 + 3x2)' equal to zero and attempt to solve:

Simplifying
2y3 + -6xy2 + 3x2 = 0

Reorder the terms:
-6xy2 + 3x2 + 2y3 = 0

Solving
-6xy2 + 3x2 + 2y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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