(3x^3-2x^2+7)(x^3+2x)=0

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Solution for (3x^3-2x^2+7)(x^3+2x)=0 equation: 


Simplifying
(3x3 + -2x2 + 7)(x3 + 2x) = 0

Reorder the terms:
(7 + -2x2 + 3x3)(x3 + 2x) = 0

Reorder the terms:
(7 + -2x2 + 3x3)(2x + x3) = 0

Multiply (7 + -2x2 + 3x3) * (2x + x3)
(7(2x + x3) + -2x2 * (2x + x3) + 3x3 * (2x + x3)) = 0
((2x * 7 + x3 * 7) + -2x2 * (2x + x3) + 3x3 * (2x + x3)) = 0
((14x + 7x3) + -2x2 * (2x + x3) + 3x3 * (2x + x3)) = 0
(14x + 7x3 + (2x * -2x2 + x3 * -2x2) + 3x3 * (2x + x3)) = 0
(14x + 7x3 + (-4x3 + -2x5) + 3x3 * (2x + x3)) = 0
(14x + 7x3 + -4x3 + -2x5 + (2x * 3x3 + x3 * 3x3)) = 0
(14x + 7x3 + -4x3 + -2x5 + (6x4 + 3x6)) = 0

Reorder the terms:
(14x + 7x3 + -4x3 + 6x4 + -2x5 + 3x6) = 0

Combine like terms: 7x3 + -4x3 = 3x3
(14x + 3x3 + 6x4 + -2x5 + 3x6) = 0

Solving
14x + 3x3 + 6x4 + -2x5 + 3x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(14 + 3x2 + 6x3 + -2x4 + 3x5) = 0


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 '(14 + 3x2 + 6x3 + -2x4 + 3x5)' equal to zero and attempt to solve:

Simplifying
14 + 3x2 + 6x3 + -2x4 + 3x5 = 0

Solving
14 + 3x2 + 6x3 + -2x4 + 3x5 = 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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