6x^4+15x^3y^2+3x^2y^3=

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


Simplifying
6x4 + 15x3y2 + 3x2y3 = 0

Reorder the terms:
3x2y3 + 15x3y2 + 6x4 = 0

Solving
3x2y3 + 15x3y2 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(y3 + 5xy2 + 2x2) = 0

Ignore the factor 3.

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 '(y3 + 5xy2 + 2x2)' equal to zero and attempt to solve: Simplifying y3 + 5xy2 + 2x2 = 0 Reorder the terms: 5xy2 + 2x2 + y3 = 0 Solving 5xy2 + 2x2 + y3 = 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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