3x^5-2x^3-8x=0

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Solution for 3x^5-2x^3-8x=0 equation: 


Simplifying
3x5 + -2x3 + -8x = 0

Reorder the terms:
-8x + -2x3 + 3x5 = 0

Solving
-8x + -2x3 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + -2x2 + 3x4) = 0

Factor a trinomial.
x((-4 + -3x2)(2 + -1x2)) = 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 '(-4 + -3x2)' equal to zero and attempt to solve:

Simplifying
-4 + -3x2 = 0

Solving
-4 + -3x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + -3x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x2 = 0 + 4
-3x2 = 0 + 4

Combine like terms: 0 + 4 = 4
-3x2 = 4

Divide each side by '-3'.
x2 = -1.333333333

Simplifying
x2 = -1.333333333

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(2 + -1x2)' equal to zero and attempt to solve:

Simplifying
2 + -1x2 = 0

Solving
2 + -1x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x2 = 0 + -2
-1x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1x2 = -2

Divide each side by '-1'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}
Solution
x = {0, -1.414213562, 1.414213562}

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