4x^2(3x^3+2x^2-5x+1)=0

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Solution for 4x^2(3x^3+2x^2-5x+1)=0 equation: 


Simplifying
4x2(3x3 + 2x2 + -5x + 1) = 0

Reorder the terms:
4x2(1 + -5x + 2x2 + 3x3) = 0
(1 * 4x2 + -5x * 4x2 + 2x2 * 4x2 + 3x3 * 4x2) = 0
(4x2 + -20x3 + 8x4 + 12x5) = 0

Solving
4x2 + -20x3 + 8x4 + 12x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(1 + -5x + 2x2 + 3x3) = 0

Ignore the factor 4.

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 + -5x + 2x2 + 3x3)' equal to zero and attempt to solve:

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

Solving
1 + -5x + 2x2 + 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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