2x^3(x^2-5x+7)-3x(x^2-1)(x^2+1)=0

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Solution for 2x^3(x^2-5x+7)-3x(x^2-1)(x^2+1)=0 equation: 


Simplifying
2x3(x2 + -5x + 7) + -3x(x2 + -1)(x2 + 1) = 0

Reorder the terms:
2x3(7 + -5x + x2) + -3x(x2 + -1)(x2 + 1) = 0
(7 * 2x3 + -5x * 2x3 + x2 * 2x3) + -3x(x2 + -1)(x2 + 1) = 0
(14x3 + -10x4 + 2x5) + -3x(x2 + -1)(x2 + 1) = 0

Reorder the terms:
14x3 + -10x4 + 2x5 + -3x(-1 + x2)(x2 + 1) = 0

Reorder the terms:
14x3 + -10x4 + 2x5 + -3x(-1 + x2)(1 + x2) = 0

Multiply (-1 + x2) * (1 + x2)
14x3 + -10x4 + 2x5 + -3x(-1(1 + x2) + x2(1 + x2)) = 0
14x3 + -10x4 + 2x5 + -3x((1 * -1 + x2 * -1) + x2(1 + x2)) = 0
14x3 + -10x4 + 2x5 + -3x((-1 + -1x2) + x2(1 + x2)) = 0
14x3 + -10x4 + 2x5 + -3x(-1 + -1x2 + (1 * x2 + x2 * x2)) = 0
14x3 + -10x4 + 2x5 + -3x(-1 + -1x2 + (1x2 + x4)) = 0

Combine like terms: -1x2 + 1x2 = 0
14x3 + -10x4 + 2x5 + -3x(-1 + 0 + x4) = 0
14x3 + -10x4 + 2x5 + -3x(-1 + x4) = 0
14x3 + -10x4 + 2x5 + (-1 * -3x + x4 * -3x) = 0
14x3 + -10x4 + 2x5 + (3x + -3x5) = 0

Reorder the terms:
3x + 14x3 + -10x4 + 2x5 + -3x5 = 0

Combine like terms: 2x5 + -3x5 = -1x5
3x + 14x3 + -10x4 + -1x5 = 0

Solving
3x + 14x3 + -10x4 + -1x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 14x2 + -10x3 + -1x4) = 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 '(3 + 14x2 + -10x3 + -1x4)' equal to zero and attempt to solve:

Simplifying
3 + 14x2 + -10x3 + -1x4 = 0

Solving
3 + 14x2 + -10x3 + -1x4 = 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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