5x^3+15x-200x=0

Solution for 5x^3+15x-200x=0 equation:

Simplifying
5x3 + 15x + -200x = 0

Reorder the terms:
15x + -200x + 5x3 = 0

Combine like terms: 15x + -200x = -185x
-185x + 5x3 = 0

Solving
-185x + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-37 + x2) = 0

Ignore the factor 5.
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 '(-37 + x2)' equal to zero and attempt to solve:

Simplifying
-37 + x2 = 0

Solving
-37 + x2 = 0

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

Add '37' to each side of the equation.
-37 + 37 + x2 = 0 + 37

Combine like terms: -37 + 37 = 0
0 + x2 = 0 + 37
x2 = 0 + 37

Combine like terms: 0 + 37 = 37
x2 = 37

Simplifying
x2 = 37

Take the square root of each side:
x = {-6.08276253, 6.08276253}
Solution
x = {0, -6.08276253, 6.08276253}