-6g^6+9g^4-4g^2=

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Solution for -6g^6+9g^4-4g^2= equation: 


Simplifying
-6g6 + 9g4 + -4g2 = 0

Reorder the terms:
-4g2 + 9g4 + -6g6 = 0

Solving
-4g2 + 9g4 + -6g6 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), 'g2'.
g2(-4 + 9g2 + -6g4) = 0


Subproblem 1
Set the factor 'g2' equal to zero and attempt to solve:

Simplifying
g2 = 0

Solving
g2 = 0

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

Simplifying
g2 = 0

Take the square root of each side:
g = {0}

Subproblem 2
Set the factor '(-4 + 9g2 + -6g4)' equal to zero and attempt to solve:

Simplifying
-4 + 9g2 + -6g4 = 0

Solving
-4 + 9g2 + -6g4 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
0.6666666667 + -1.5g2 + g4 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -1.5g2 + -0.6666666667 + g4 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -1.5g2 + g4 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -1.5g2 + g4 = 0 + -0.6666666667
-1.5g2 + g4 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-1.5g2 + g4 = -0.6666666667

The g term is -1.5g2.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5g2 + 0.5625 + g4 = -0.6666666667 + 0.5625

Reorder the terms:
0.5625 + -1.5g2 + g4 = -0.6666666667 + 0.5625

Combine like terms: -0.6666666667 + 0.5625 = -0.1041666667
0.5625 + -1.5g2 + g4 = -0.1041666667

Factor a perfect square on the left side:
(g2 + -0.75)(g2 + -0.75) = -0.1041666667

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.
Solution
g = {0}

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