15x^3(y+2)-40x^2(-2-y)-10x(y+2)=

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Solution for 15x^3(y+2)-40x^2(-2-y)-10x(y+2)= equation: 


Simplifying
15x3(y + 2) + -40x2(-2 + -1y) + -10x(y + 2) = 0

Reorder the terms:
15x3(2 + y) + -40x2(-2 + -1y) + -10x(y + 2) = 0
(2 * 15x3 + y * 15x3) + -40x2(-2 + -1y) + -10x(y + 2) = 0
(30x3 + 15x3y) + -40x2(-2 + -1y) + -10x(y + 2) = 0
30x3 + 15x3y + (-2 * -40x2 + -1y * -40x2) + -10x(y + 2) = 0
30x3 + 15x3y + (80x2 + 40x2y) + -10x(y + 2) = 0

Reorder the terms:
30x3 + 15x3y + 80x2 + 40x2y + -10x(2 + y) = 0
30x3 + 15x3y + 80x2 + 40x2y + (2 * -10x + y * -10x) = 0
30x3 + 15x3y + 80x2 + 40x2y + (-20x + -10xy) = 0

Reorder the terms:
-20x + -10xy + 80x2 + 40x2y + 30x3 + 15x3y = 0

Solving
-20x + -10xy + 80x2 + 40x2y + 30x3 + 15x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-4 + -2y + 16x + 8xy + 6x2 + 3x2y) = 0

Ignore the factor 5.

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 '(-4 + -2y + 16x + 8xy + 6x2 + 3x2y)' equal to zero and attempt to solve:

Simplifying
-4 + -2y + 16x + 8xy + 6x2 + 3x2y = 0

Reorder the terms:
-4 + 16x + 8xy + 6x2 + 3x2y + -2y = 0

Solving
-4 + 16x + 8xy + 6x2 + 3x2y + -2y = 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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