x^3+5x-50x=0

Solution for x^3+5x-50x=0 equation:

Simplifying
x3 + 5x + -50x = 0

Reorder the terms:
5x + -50x + x3 = 0

Combine like terms: 5x + -50x = -45x
-45x + x3 = 0

Solving
-45x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-45 + x2) = 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 '(-45 + x2)' equal to zero and attempt to solve:

Simplifying
-45 + x2 = 0

Solving
-45 + x2 = 0

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

Add '45' to each side of the equation.
-45 + 45 + x2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + x2 = 0 + 45
x2 = 0 + 45

Combine like terms: 0 + 45 = 45
x2 = 45

Simplifying
x2 = 45

Take the square root of each side:
x = {-6.708203933, 6.708203933}
Solution
x = {0, -6.708203933, 6.708203933}