-6x^3+39x-63x=0

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Solution for -6x^3+39x-63x=0 equation: 


Simplifying
-6x3 + 39x + -63x = 0

Reorder the terms:
39x + -63x + -6x3 = 0

Combine like terms: 39x + -63x = -24x
-24x + -6x3 = 0

Solving
-24x + -6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-6x'.
-6x(4 + x2) = 0

Ignore the factor -6.

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 + x2)' equal to zero and attempt to solve:

Simplifying
4 + x2 = 0

Solving
4 + x2 = 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 + x2 = 0 + -4

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

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

Simplifying
x2 = -4

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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