(15x^2+6x)x(120x^3-36x)+(30x^4-18x^2)x(30x+6)=

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Solution for (15x^2+6x)x(120x^3-36x)+(30x^4-18x^2)x(30x+6)= equation: 


Simplifying
(15x2 + 6x) * x(120x3 + -36x) + (30x4 + -18x2) * x(30x + 6) = 0

Reorder the terms:
(6x + 15x2) * x(120x3 + -36x) + (30x4 + -18x2) * x(30x + 6) = 0

Reorder the terms:
(6x + 15x2) * x(-36x + 120x3) + (30x4 + -18x2) * x(30x + 6) = 0

Reorder the terms for easier multiplication:
x(6x + 15x2)(-36x + 120x3) + (30x4 + -18x2) * x(30x + 6) = 0

Multiply (6x + 15x2) * (-36x + 120x3)
x(6x * (-36x + 120x3) + 15x2 * (-36x + 120x3)) + (30x4 + -18x2) * x(30x + 6) = 0
x((-36x * 6x + 120x3 * 6x) + 15x2 * (-36x + 120x3)) + (30x4 + -18x2) * x(30x + 6) = 0
x((-216x2 + 720x4) + 15x2 * (-36x + 120x3)) + (30x4 + -18x2) * x(30x + 6) = 0
x(-216x2 + 720x4 + (-36x * 15x2 + 120x3 * 15x2)) + (30x4 + -18x2) * x(30x + 6) = 0
x(-216x2 + 720x4 + (-540x3 + 1800x5)) + (30x4 + -18x2) * x(30x + 6) = 0

Reorder the terms:
x(-216x2 + -540x3 + 720x4 + 1800x5) + (30x4 + -18x2) * x(30x + 6) = 0
x(-216x2 + -540x3 + 720x4 + 1800x5) + (30x4 + -18x2) * x(30x + 6) = 0
(-216x2 * x + -540x3 * x + 720x4 * x + 1800x5 * x) + (30x4 + -18x2) * x(30x + 6) = 0
(-216x3 + -540x4 + 720x5 + 1800x6) + (30x4 + -18x2) * x(30x + 6) = 0

Reorder the terms:
-216x3 + -540x4 + 720x5 + 1800x6 + (-18x2 + 30x4) * x(30x + 6) = 0

Reorder the terms:
-216x3 + -540x4 + 720x5 + 1800x6 + (-18x2 + 30x4) * x(6 + 30x) = 0

Reorder the terms for easier multiplication:
-216x3 + -540x4 + 720x5 + 1800x6 + x(-18x2 + 30x4)(6 + 30x) = 0

Multiply (-18x2 + 30x4) * (6 + 30x)
-216x3 + -540x4 + 720x5 + 1800x6 + x(-18x2 * (6 + 30x) + 30x4 * (6 + 30x)) = 0
-216x3 + -540x4 + 720x5 + 1800x6 + x((6 * -18x2 + 30x * -18x2) + 30x4 * (6 + 30x)) = 0
-216x3 + -540x4 + 720x5 + 1800x6 + x((-108x2 + -540x3) + 30x4 * (6 + 30x)) = 0
-216x3 + -540x4 + 720x5 + 1800x6 + x(-108x2 + -540x3 + (6 * 30x4 + 30x * 30x4)) = 0
-216x3 + -540x4 + 720x5 + 1800x6 + x(-108x2 + -540x3 + (180x4 + 900x5)) = 0
-216x3 + -540x4 + 720x5 + 1800x6 + x(-108x2 + -540x3 + 180x4 + 900x5) = 0
-216x3 + -540x4 + 720x5 + 1800x6 + (-108x2 * x + -540x3 * x + 180x4 * x + 900x5 * x) = 0
-216x3 + -540x4 + 720x5 + 1800x6 + (-108x3 + -540x4 + 180x5 + 900x6) = 0

Reorder the terms:
-216x3 + -108x3 + -540x4 + -540x4 + 720x5 + 180x5 + 1800x6 + 900x6 = 0

Combine like terms: -216x3 + -108x3 = -324x3
-324x3 + -540x4 + -540x4 + 720x5 + 180x5 + 1800x6 + 900x6 = 0

Combine like terms: -540x4 + -540x4 = -1080x4
-324x3 + -1080x4 + 720x5 + 180x5 + 1800x6 + 900x6 = 0

Combine like terms: 720x5 + 180x5 = 900x5
-324x3 + -1080x4 + 900x5 + 1800x6 + 900x6 = 0

Combine like terms: 1800x6 + 900x6 = 2700x6
-324x3 + -1080x4 + 900x5 + 2700x6 = 0

Solving
-324x3 + -1080x4 + 900x5 + 2700x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '36x3'.
36x3(-9 + -30x + 25x2 + 75x3) = 0

Ignore the factor 36.

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 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 '(-9 + -30x + 25x2 + 75x3)' equal to zero and attempt to solve:

Simplifying
-9 + -30x + 25x2 + 75x3 = 0

Solving
-9 + -30x + 25x2 + 75x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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