0=9x^3+30x+24x

Solution for 0=9x^3+30x+24x equation:

Simplifying
0 = 9x3 + 30x + 24x

Reorder the terms:
0 = 30x + 24x + 9x3

Combine like terms: 30x + 24x = 54x
0 = 54x + 9x3

Solving
0 = 54x + 9x3

Solving for variable 'x'.
Remove the zero:
-54x + -9x3 = 54x + 9x3 + -54x + -9x3

Reorder the terms:
-54x + -9x3 = 54x + -54x + 9x3 + -9x3

Combine like terms: 54x + -54x = 0
-54x + -9x3 = 0 + 9x3 + -9x3
-54x + -9x3 = 9x3 + -9x3

Combine like terms: 9x3 + -9x3 = 0
-54x + -9x3 = 0

Factor out the Greatest Common Factor (GCF), '-9x'.
-9x(6 + x2) = 0

Ignore the factor -9.
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 '(6 + x2)' equal to zero and attempt to solve:

Simplifying
6 + x2 = 0

Solving
6 + x2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x2 = 0 + -6
x2 = 0 + -6

Combine like terms: 0 + -6 = -6
x2 = -6

Simplifying
x2 = -6

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}