15x^3(y+4)+15x^2(y+4)-10x(y+4)=

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Solution for 15x^3(y+4)+15x^2(y+4)-10x(y+4)= equation: 


Simplifying
15x3(y + 4) + 15x2(y + 4) + -10x(y + 4) = 0

Reorder the terms:
15x3(4 + y) + 15x2(y + 4) + -10x(y + 4) = 0
(4 * 15x3 + y * 15x3) + 15x2(y + 4) + -10x(y + 4) = 0
(60x3 + 15x3y) + 15x2(y + 4) + -10x(y + 4) = 0

Reorder the terms:
60x3 + 15x3y + 15x2(4 + y) + -10x(y + 4) = 0
60x3 + 15x3y + (4 * 15x2 + y * 15x2) + -10x(y + 4) = 0
60x3 + 15x3y + (60x2 + 15x2y) + -10x(y + 4) = 0

Reorder the terms:
60x3 + 15x3y + 60x2 + 15x2y + -10x(4 + y) = 0
60x3 + 15x3y + 60x2 + 15x2y + (4 * -10x + y * -10x) = 0
60x3 + 15x3y + 60x2 + 15x2y + (-40x + -10xy) = 0

Reorder the terms:
-40x + -10xy + 60x2 + 15x2y + 60x3 + 15x3y = 0

Solving
-40x + -10xy + 60x2 + 15x2y + 60x3 + 15x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-8 + -2y + 12x + 3xy + 12x2 + 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 '(-8 + -2y + 12x + 3xy + 12x2 + 3x2y)' equal to zero and attempt to solve:

Simplifying
-8 + -2y + 12x + 3xy + 12x2 + 3x2y = 0

Reorder the terms:
-8 + 12x + 3xy + 12x2 + 3x2y + -2y = 0

Solving
-8 + 12x + 3xy + 12x2 + 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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