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

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

Simplifying
-4a6 + 4a5 + -2a4 = 0

Reorder the terms:
-2a4 + 4a5 + -4a6 = 0

Solving
-2a4 + 4a5 + -4a6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a4'.
2a4(-1 + 2a + -2a2) = 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 '(-1 + 2a + -2a2)' equal to zero and attempt to solve:

Simplifying
-1 + 2a + -2a2 = 0

Solving
-1 + 2a + -2a2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
0.5 + -1a + a2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1a + -0.5 + a2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1a + a2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1a + a2 = 0 + -0.5
-1a + a2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1a + a2 = -0.5

The a term is -1a.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1a + 0.25 + a2 = -0.5 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -1a + a2 = -0.25

Factor a perfect square on the left side:
(a + -0.5)(a + -0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.