2x^3+20x+48x=0

Solution for 2x^3+20x+48x=0 equation:

Simplifying
2x3 + 20x + 48x = 0

Reorder the terms:
20x + 48x + 2x3 = 0

Combine like terms: 20x + 48x = 68x
68x + 2x3 = 0

Solving
68x + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(34 + x2) = 0

Ignore the factor 2.
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 '(34 + x2)' equal to zero and attempt to solve:

Simplifying
34 + x2 = 0

Solving
34 + x2 = 0

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

Add '-34' to each side of the equation.
34 + -34 + x2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + x2 = 0 + -34
x2 = 0 + -34

Combine like terms: 0 + -34 = -34
x2 = -34

Simplifying
x2 = -34

The solution to this equation could not be determined.

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