(x^2+3x)(3x^2+9x)(8x^2+5x)=0

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Solution for (x^2+3x)(3x^2+9x)(8x^2+5x)=0 equation: 


Simplifying
(x2 + 3x)(3x2 + 9x)(8x2 + 5x) = 0

Reorder the terms:
(3x + x2)(3x2 + 9x)(8x2 + 5x) = 0

Reorder the terms:
(3x + x2)(9x + 3x2)(8x2 + 5x) = 0

Reorder the terms:
(3x + x2)(9x + 3x2)(5x + 8x2) = 0

Multiply (3x + x2) * (9x + 3x2)
(3x * (9x + 3x2) + x2(9x + 3x2))(5x + 8x2) = 0
((9x * 3x + 3x2 * 3x) + x2(9x + 3x2))(5x + 8x2) = 0
((27x2 + 9x3) + x2(9x + 3x2))(5x + 8x2) = 0
(27x2 + 9x3 + (9x * x2 + 3x2 * x2))(5x + 8x2) = 0
(27x2 + 9x3 + (9x3 + 3x4))(5x + 8x2) = 0

Combine like terms: 9x3 + 9x3 = 18x3
(27x2 + 18x3 + 3x4)(5x + 8x2) = 0

Multiply (27x2 + 18x3 + 3x4) * (5x + 8x2)
(27x2 * (5x + 8x2) + 18x3 * (5x + 8x2) + 3x4 * (5x + 8x2)) = 0
((5x * 27x2 + 8x2 * 27x2) + 18x3 * (5x + 8x2) + 3x4 * (5x + 8x2)) = 0
((135x3 + 216x4) + 18x3 * (5x + 8x2) + 3x4 * (5x + 8x2)) = 0
(135x3 + 216x4 + (5x * 18x3 + 8x2 * 18x3) + 3x4 * (5x + 8x2)) = 0
(135x3 + 216x4 + (90x4 + 144x5) + 3x4 * (5x + 8x2)) = 0
(135x3 + 216x4 + 90x4 + 144x5 + (5x * 3x4 + 8x2 * 3x4)) = 0
(135x3 + 216x4 + 90x4 + 144x5 + (15x5 + 24x6)) = 0

Combine like terms: 216x4 + 90x4 = 306x4
(135x3 + 306x4 + 144x5 + 15x5 + 24x6) = 0

Combine like terms: 144x5 + 15x5 = 159x5
(135x3 + 306x4 + 159x5 + 24x6) = 0

Solving
135x3 + 306x4 + 159x5 + 24x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x3'.
3x3(45 + 102x + 53x2 + 8x3) = 0

Ignore the factor 3.

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 '(45 + 102x + 53x2 + 8x3)' equal to zero and attempt to solve:

Simplifying
45 + 102x + 53x2 + 8x3 = 0

Solving
45 + 102x + 53x2 + 8x3 = 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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