a^2-5a^8=0

Solution for a^2-5a^8=0 equation:

Simplifying
a2 + -5a8 = 0

Solving
a2 + -5a8 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(1 + -5a6) = 0

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(1 + -5a6)' equal to zero and attempt to solve:

Simplifying
1 + -5a6 = 0

Solving
1 + -5a6 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5a6 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5a6 = 0 + -1
-5a6 = 0 + -1

Combine like terms: 0 + -1 = -1
-5a6 = -1

Divide each side by '-5'.
a6 = 0.2

Simplifying
a6 = 0.2

The solution to this equation could not be determined.

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