(3x^2)+(4xy)-(x(y^3))=

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


Simplifying
(3x2) + (4xy) + -1(x(y3)) = 0

Multiply x * y3
(3x2) + (4xy) + -1(xy3) = 0

Reorder the terms:
(4xy) + -1xy3 + (3x2) = 0

Solving
(4xy) + -1xy3 + (3x2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x((4y) + -1y3 + (3x)) = 0


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 '((4y) + -1y3 + (3x))' equal to zero and attempt to solve:

Simplifying
(4y) + -1y3 + (3x) = 0

Reorder the terms:
(3x) + (4y) + -1y3 = 0

Solving
(3x) + (4y) + -1y3 = 0

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

Add '(-4y)' to each side of the equation.
(3x) + (4y) + (-4y) + -1y3 = 0 + (-4y)

Combine like terms: (4y) + (-4y) = 0
(3x) + 0 + -1y3 = 0 + (-4y)
(3x) + -1y3 = 0 + (-4y)
Remove the zero:
(3x) + -1y3 = (-4y)

Add 'y3' to each side of the equation.
(3x) + -1y3 + y3 = (-4y) + y3

Combine like terms: -1y3 + y3 = 0
(3x) + 0 = (-4y) + y3
(3x) = (-4y) + y3

Divide each side by '3'.
x = (-1.333333333y) + 0.3333333333y3

Simplifying
x = (-1.333333333y) + 0.3333333333y3
Solution
x = {0, (-1.333333333y) + 0.3333333333y3}

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