-2a^6+8a^5-8a^4=0

Solution for -2a^6+8a^5-8a^4=0 equation:

Simplifying
-2a6 + 8a5 + -8a4 = 0

Reorder the terms:
-8a4 + 8a5 + -2a6 = 0

Solving
-8a4 + 8a5 + -2a6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a4'.
2a4(-4 + 4a + -1a2) = 0

Factor a trinomial.
2a4((-2 + a)(2 + -1a)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'a4' equal to zero and attempt to solve:

Simplifying
a4 = 0

Solving
a4 = 0

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

Simplifying
a4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-2 + a)' equal to zero and attempt to solve:

Simplifying
-2 + a = 0

Solving
-2 + a = 0

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

Add '2' to each side of the equation.
-2 + 2 + a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + a = 0 + 2
a = 0 + 2

Combine like terms: 0 + 2 = 2
a = 2

Simplifying
a = 2
Subproblem 3
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {2, 2}