3x^5-3x^3+28x=0

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Solution for 3x^5-3x^3+28x=0 equation: 


Simplifying
3x5 + -3x3 + 28x = 0

Reorder the terms:
28x + -3x3 + 3x5 = 0

Solving
28x + -3x3 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(28 + -3x2 + 3x4) = 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 '(28 + -3x2 + 3x4)' equal to zero and attempt to solve:

Simplifying
28 + -3x2 + 3x4 = 0

Solving
28 + -3x2 + 3x4 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
9.333333333 + -1x2 + x4 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + -1x2 + -9.333333333 + x4 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + -1x2 + x4 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + -1x2 + x4 = 0 + -9.333333333
-1x2 + x4 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
-1x2 + x4 = -9.333333333

The x term is -1x2.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x2 + 0.25 + x4 = -9.333333333 + 0.25

Reorder the terms:
0.25 + -1x2 + x4 = -9.333333333 + 0.25

Combine like terms: -9.333333333 + 0.25 = -9.083333333
0.25 + -1x2 + x4 = -9.083333333

Factor a perfect square on the left side:
(x2 + -0.5)(x2 + -0.5) = -9.083333333

Can't calculate square root of the right side.

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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