5xy^2(y^3-y^2+3x+1)=

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Solution for 5xy^2(y^3-y^2+3x+1)= equation: 


Simplifying
5xy2(y3 + -1y2 + 3x + 1) = 0

Reorder the terms:
5xy2(1 + 3x + -1y2 + y3) = 0
(1 * 5xy2 + 3x * 5xy2 + -1y2 * 5xy2 + y3 * 5xy2) = 0

Reorder the terms:
(5xy2 + -5xy4 + 5xy5 + 15x2y2) = 0
(5xy2 + -5xy4 + 5xy5 + 15x2y2) = 0

Solving
5xy2 + -5xy4 + 5xy5 + 15x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5xy2'.
5xy2(1 + -1y2 + y3 + 3x) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve:

Simplifying
xy2 = 0

Solving
xy2 = 0

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

Simplifying
xy2 = 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 '(1 + -1y2 + y3 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + -1y2 + y3 + 3x = 0

Reorder the terms:
1 + 3x + -1y2 + y3 = 0

Solving
1 + 3x + -1y2 + y3 = 0

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

Add '-1' to each side of the equation.
1 + 3x + -1y2 + -1 + y3 = 0 + -1

Reorder the terms:
1 + -1 + 3x + -1y2 + y3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x + -1y2 + y3 = 0 + -1
3x + -1y2 + y3 = 0 + -1

Combine like terms: 0 + -1 = -1
3x + -1y2 + y3 = -1

Add 'y2' to each side of the equation.
3x + -1y2 + y2 + y3 = -1 + y2

Combine like terms: -1y2 + y2 = 0
3x + 0 + y3 = -1 + y2
3x + y3 = -1 + y2

Add '-1y3' to each side of the equation.
3x + y3 + -1y3 = -1 + y2 + -1y3

Combine like terms: y3 + -1y3 = 0
3x + 0 = -1 + y2 + -1y3
3x = -1 + y2 + -1y3

Divide each side by '3'.
x = -0.3333333333 + 0.3333333333y2 + -0.3333333333y3

Simplifying
x = -0.3333333333 + 0.3333333333y2 + -0.3333333333y3
Solution
x = {-0.3333333333 + 0.3333333333y2 + -0.3333333333y3}

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