3x^2(3x^3+5x^2-2x+1)=0

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Solution for 3x^2(3x^3+5x^2-2x+1)=0 equation: 


Simplifying
3x2(3x3 + 5x2 + -2x + 1) = 0

Reorder the terms:
3x2(1 + -2x + 5x2 + 3x3) = 0
(1 * 3x2 + -2x * 3x2 + 5x2 * 3x2 + 3x3 * 3x2) = 0
(3x2 + -6x3 + 15x4 + 9x5) = 0

Solving
3x2 + -6x3 + 15x4 + 9x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(1 + -2x + 5x2 + 3x3) = 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 '(1 + -2x + 5x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
1 + -2x + 5x2 + 3x3 = 0

Solving
1 + -2x + 5x2 + 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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