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

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


Simplifying
-6a6 + 4a5 + -2a4 = 0

Reorder the terms:
-2a4 + 4a5 + -6a6 = 0

Solving
-2a4 + 4a5 + -6a6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a4'.
2a4(-1 + 2a + -3a2) = 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 + -3a2)' equal to zero and attempt to solve:

Simplifying
-1 + 2a + -3a2 = 0

Solving
-1 + 2a + -3a2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
0.3333333333 + -0.6666666667a + a2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.6666666667a + -0.3333333333 + a2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.6666666667a + a2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.6666666667a + a2 = 0 + -0.3333333333
-0.6666666667a + a2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.6666666667a + a2 = -0.3333333333

The a term is -0.6666666667a.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667a + 0.1111111112 + a2 = -0.3333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667a + a2 = -0.3333333333 + 0.1111111112

Combine like terms: -0.3333333333 + 0.1111111112 = -0.2222222221
0.1111111112 + -0.6666666667a + a2 = -0.2222222221

Factor a perfect square on the left side:
(a + -0.3333333334)(a + -0.3333333334) = -0.2222222221

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.

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