(100x^3+2000x)(2x+1)=

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Solution for (100x^3+2000x)(2x+1)= equation: 


Simplifying
(100x3 + 2000x)(2x + 1) = 0

Reorder the terms:
(2000x + 100x3)(2x + 1) = 0

Reorder the terms:
(2000x + 100x3)(1 + 2x) = 0

Multiply (2000x + 100x3) * (1 + 2x)
(2000x * (1 + 2x) + 100x3 * (1 + 2x)) = 0
((1 * 2000x + 2x * 2000x) + 100x3 * (1 + 2x)) = 0
((2000x + 4000x2) + 100x3 * (1 + 2x)) = 0
(2000x + 4000x2 + (1 * 100x3 + 2x * 100x3)) = 0
(2000x + 4000x2 + (100x3 + 200x4)) = 0
(2000x + 4000x2 + 100x3 + 200x4) = 0

Solving
2000x + 4000x2 + 100x3 + 200x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '100x'.
100x(20 + 40x + x2 + 2x3) = 0

Ignore the factor 100.

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 '(20 + 40x + x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
20 + 40x + x2 + 2x3 = 0

Solving
20 + 40x + x2 + 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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