25*x^3=5*x

Solution for 25*x^3=5*x equation:

Simplifying
25x3 = 5x

Solving
25x3 = 5x

Solving for variable 'x'.

Reorder the terms:
-5x + 25x3 = 5x + -5x

Combine like terms: 5x + -5x = 0
-5x + 25x3 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-1 + 5x2) = 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 '(-1 + 5x2)' equal to zero and attempt to solve:

Simplifying
-1 + 5x2 = 0

Solving
-1 + 5x2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 5x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5x2 = 0 + 1
5x2 = 0 + 1

Combine like terms: 0 + 1 = 1
5x2 = 1

Divide each side by '5'.
x2 = 0.2

Simplifying
x2 = 0.2

Take the square root of each side:
x = {-0.447213596, 0.447213596}
Solution
x = {0, -0.447213596, 0.447213596}