9x^3(y+5)+9x^2(y+5)-6x(y+5)=

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Solution for 9x^3(y+5)+9x^2(y+5)-6x(y+5)= equation: 


Simplifying
9x3(y + 5) + 9x2(y + 5) + -6x(y + 5) = 0

Reorder the terms:
9x3(5 + y) + 9x2(y + 5) + -6x(y + 5) = 0
(5 * 9x3 + y * 9x3) + 9x2(y + 5) + -6x(y + 5) = 0
(45x3 + 9x3y) + 9x2(y + 5) + -6x(y + 5) = 0

Reorder the terms:
45x3 + 9x3y + 9x2(5 + y) + -6x(y + 5) = 0
45x3 + 9x3y + (5 * 9x2 + y * 9x2) + -6x(y + 5) = 0
45x3 + 9x3y + (45x2 + 9x2y) + -6x(y + 5) = 0

Reorder the terms:
45x3 + 9x3y + 45x2 + 9x2y + -6x(5 + y) = 0
45x3 + 9x3y + 45x2 + 9x2y + (5 * -6x + y * -6x) = 0
45x3 + 9x3y + 45x2 + 9x2y + (-30x + -6xy) = 0

Reorder the terms:
-30x + -6xy + 45x2 + 9x2y + 45x3 + 9x3y = 0

Solving
-30x + -6xy + 45x2 + 9x2y + 45x3 + 9x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-10 + -2y + 15x + 3xy + 15x2 + 3x2y) = 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 '(-10 + -2y + 15x + 3xy + 15x2 + 3x2y)' equal to zero and attempt to solve:

Simplifying
-10 + -2y + 15x + 3xy + 15x2 + 3x2y = 0

Reorder the terms:
-10 + 15x + 3xy + 15x2 + 3x2y + -2y = 0

Solving
-10 + 15x + 3xy + 15x2 + 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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