(3x^3+x^2+2x)(9x-2+10x^3)=

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Solution for (3x^3+x^2+2x)(9x-2+10x^3)= equation: 


Simplifying
(3x3 + x2 + 2x)(9x + -2 + 10x3) = 0

Reorder the terms:
(2x + x2 + 3x3)(9x + -2 + 10x3) = 0

Reorder the terms:
(2x + x2 + 3x3)(-2 + 9x + 10x3) = 0

Multiply (2x + x2 + 3x3) * (-2 + 9x + 10x3)
(2x * (-2 + 9x + 10x3) + x2(-2 + 9x + 10x3) + 3x3 * (-2 + 9x + 10x3)) = 0
((-2 * 2x + 9x * 2x + 10x3 * 2x) + x2(-2 + 9x + 10x3) + 3x3 * (-2 + 9x + 10x3)) = 0
((-4x + 18x2 + 20x4) + x2(-2 + 9x + 10x3) + 3x3 * (-2 + 9x + 10x3)) = 0
(-4x + 18x2 + 20x4 + (-2 * x2 + 9x * x2 + 10x3 * x2) + 3x3 * (-2 + 9x + 10x3)) = 0
(-4x + 18x2 + 20x4 + (-2x2 + 9x3 + 10x5) + 3x3 * (-2 + 9x + 10x3)) = 0
(-4x + 18x2 + 20x4 + -2x2 + 9x3 + 10x5 + (-2 * 3x3 + 9x * 3x3 + 10x3 * 3x3)) = 0
(-4x + 18x2 + 20x4 + -2x2 + 9x3 + 10x5 + (-6x3 + 27x4 + 30x6)) = 0

Reorder the terms:
(-4x + 18x2 + -2x2 + 9x3 + -6x3 + 20x4 + 27x4 + 10x5 + 30x6) = 0

Combine like terms: 18x2 + -2x2 = 16x2
(-4x + 16x2 + 9x3 + -6x3 + 20x4 + 27x4 + 10x5 + 30x6) = 0

Combine like terms: 9x3 + -6x3 = 3x3
(-4x + 16x2 + 3x3 + 20x4 + 27x4 + 10x5 + 30x6) = 0

Combine like terms: 20x4 + 27x4 = 47x4
(-4x + 16x2 + 3x3 + 47x4 + 10x5 + 30x6) = 0

Solving
-4x + 16x2 + 3x3 + 47x4 + 10x5 + 30x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 16x + 3x2 + 47x3 + 10x4 + 30x5) = 0


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 + 16x + 3x2 + 47x3 + 10x4 + 30x5)' equal to zero and attempt to solve:

Simplifying
-4 + 16x + 3x2 + 47x3 + 10x4 + 30x5 = 0

Solving
-4 + 16x + 3x2 + 47x3 + 10x4 + 30x5 = 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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