a^3-10a+25a=0

Solution for a^3-10a+25a=0 equation:

Simplifying
a3 + -10a + 25a = 0

Reorder the terms:
-10a + 25a + a3 = 0

Combine like terms: -10a + 25a = 15a
15a + a3 = 0

Solving
15a + a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(15 + a2) = 0

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 '(15 + a2)' equal to zero and attempt to solve:

Simplifying
15 + a2 = 0

Solving
15 + a2 = 0

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

Add '-15' to each side of the equation.
15 + -15 + a2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + a2 = 0 + -15
a2 = 0 + -15

Combine like terms: 0 + -15 = -15
a2 = -15

Simplifying
a2 = -15

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}