3x^4-(12x^3y)-(6x^2y^2)+(18xy^3)=0

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Solution for 3x^4-(12x^3y)-(6x^2y^2)+(18xy^3)=0 equation:


Simplifying
3x4 + -1(12x3y) + -1(6x2y2) + (18xy3) = 0

Remove parenthesis around (12x3y)
3x4 + -1 * 12x3y + -1(6x2y2) + (18xy3) = 0

Multiply -1 * 12
3x4 + -12x3y + -1(6x2y2) + (18xy3) = 0

Remove parenthesis around (6x2y2)
3x4 + -12x3y + -1 * 6x2y2 + (18xy3) = 0

Multiply -1 * 6
3x4 + -12x3y + -6x2y2 + (18xy3) = 0

Reorder the terms:
(18xy3) + -6x2y2 + -12x3y + 3x4 = 0

Solving
(18xy3) + -6x2y2 + -12x3y + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x((6y3) + -2xy2 + -4x2y + x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '((6y3) + -2xy2 + -4x2y + x3)' equal to zero and attempt to solve: Simplifying (6y3) + -2xy2 + -4x2y + x3 = 0 Reorder the terms: -2xy2 + -4x2y + x3 + (6y3) = 0 Solving -2xy2 + -4x2y + x3 + (6y3) = 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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