2a^3-10a=0

Solution for 2a^3-10a=0 equation:

Simplifying
2a3 + -10a = 0

Reorder the terms:
-10a + 2a3 = 0

Solving
-10a + 2a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-5 + a2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(-5 + a2)' equal to zero and attempt to solve:

Simplifying
-5 + a2 = 0

Solving
-5 + a2 = 0

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

Add '5' to each side of the equation.
-5 + 5 + a2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + a2 = 0 + 5
a2 = 0 + 5

Combine like terms: 0 + 5 = 5
a2 = 5

Simplifying
a2 = 5

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