(x^2+x+1)*(3x^3+9x^2)=0

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Solution for (x^2+x+1)*(3x^3+9x^2)=0 equation: 


Simplifying
(x2 + x + 1)(3x3 + 9x2) = 0

Reorder the terms:
(1 + x + x2)(3x3 + 9x2) = 0

Reorder the terms:
(1 + x + x2)(9x2 + 3x3) = 0

Multiply (1 + x + x2) * (9x2 + 3x3)
(1(9x2 + 3x3) + x(9x2 + 3x3) + x2(9x2 + 3x3)) = 0
((9x2 * 1 + 3x3 * 1) + x(9x2 + 3x3) + x2(9x2 + 3x3)) = 0
((9x2 + 3x3) + x(9x2 + 3x3) + x2(9x2 + 3x3)) = 0
(9x2 + 3x3 + (9x2 * x + 3x3 * x) + x2(9x2 + 3x3)) = 0
(9x2 + 3x3 + (9x3 + 3x4) + x2(9x2 + 3x3)) = 0
(9x2 + 3x3 + 9x3 + 3x4 + (9x2 * x2 + 3x3 * x2)) = 0
(9x2 + 3x3 + 9x3 + 3x4 + (9x4 + 3x5)) = 0

Combine like terms: 3x3 + 9x3 = 12x3
(9x2 + 12x3 + 3x4 + 9x4 + 3x5) = 0

Combine like terms: 3x4 + 9x4 = 12x4
(9x2 + 12x3 + 12x4 + 3x5) = 0

Solving
9x2 + 12x3 + 12x4 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(3 + 4x + 4x2 + x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(3 + 4x + 4x2 + x3)' equal to zero and attempt to solve:

Simplifying
3 + 4x + 4x2 + x3 = 0

Solving
3 + 4x + 4x2 + x3 = 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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