6x^3=30x

Solution for 6x^3=30x equation:

Simplifying
6x3 = 30x

Solving
6x3 = 30x

Solving for variable 'x'.

Reorder the terms:
-30x + 6x3 = 30x + -30x

Combine like terms: 30x + -30x = 0
-30x + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-5 + x2) = 0

Ignore the factor 6.
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 '(-5 + x2)' equal to zero and attempt to solve:

Simplifying
-5 + x2 = 0

Solving
-5 + x2 = 0

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

Add '5' to each side of the equation.
-5 + 5 + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x2 = 0 + 5
x2 = 0 + 5

Combine like terms: 0 + 5 = 5
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}
Solution
x = {0, -2.236067978, 2.236067978}