x(4x^3-10x^2+2)=0

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Solution for x(4x^3-10x^2+2)=0 equation: 


Simplifying
x(4x3 + -10x2 + 2) = 0

Reorder the terms:
x(2 + -10x2 + 4x3) = 0
(2 * x + -10x2 * x + 4x3 * x) = 0
(2x + -10x3 + 4x4) = 0

Solving
2x + -10x3 + 4x4 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

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 '(1 + -5x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
1 + -5x2 + 2x3 = 0

Solving
1 + -5x2 + 2x3 = 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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