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

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


Simplifying
(3x + 5)(x3 + 2x2 + x) = 0

Reorder the terms:
(5 + 3x)(x3 + 2x2 + x) = 0

Reorder the terms:
(5 + 3x)(x + 2x2 + x3) = 0

Multiply (5 + 3x) * (x + 2x2 + x3)
(5(x + 2x2 + x3) + 3x * (x + 2x2 + x3)) = 0
((x * 5 + 2x2 * 5 + x3 * 5) + 3x * (x + 2x2 + x3)) = 0
((5x + 10x2 + 5x3) + 3x * (x + 2x2 + x3)) = 0
(5x + 10x2 + 5x3 + (x * 3x + 2x2 * 3x + x3 * 3x)) = 0
(5x + 10x2 + 5x3 + (3x2 + 6x3 + 3x4)) = 0

Reorder the terms:
(5x + 10x2 + 3x2 + 5x3 + 6x3 + 3x4) = 0

Combine like terms: 10x2 + 3x2 = 13x2
(5x + 13x2 + 5x3 + 6x3 + 3x4) = 0

Combine like terms: 5x3 + 6x3 = 11x3
(5x + 13x2 + 11x3 + 3x4) = 0

Solving
5x + 13x2 + 11x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + 13x + 11x2 + 3x3) = 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 '(5 + 13x + 11x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
5 + 13x + 11x2 + 3x3 = 0

Solving
5 + 13x + 11x2 + 3x3 = 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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