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

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


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

Reorder the terms:
-2x2(1 + -4x + x3) = 0
(1 * -2x2 + -4x * -2x2 + x3 * -2x2) = 0
(-2x2 + 8x3 + -2x5) = 0

Solving
-2x2 + 8x3 + -2x5 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

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 + 4x + -1x3)' equal to zero and attempt to solve:

Simplifying
-1 + 4x + -1x3 = 0

Solving
-1 + 4x + -1x3 = 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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