x^3=300x

Solution for x^3=300x equation:

Simplifying
x3 = 300x

Solving
x3 = 300x

Solving for variable 'x'.

Reorder the terms:
-300x + x3 = 300x + -300x

Combine like terms: 300x + -300x = 0
-300x + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-300 + 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 '(-300 + x2)' equal to zero and attempt to solve:

Simplifying
-300 + x2 = 0

Solving
-300 + x2 = 0

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

Add '300' to each side of the equation.
-300 + 300 + x2 = 0 + 300

Combine like terms: -300 + 300 = 0
0 + x2 = 0 + 300
x2 = 0 + 300

Combine like terms: 0 + 300 = 300
x2 = 300

Simplifying
x2 = 300

Take the square root of each side:
x = {-17.320508076, 17.320508076}
Solution
x = {0, -17.320508076, 17.320508076}