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

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


Simplifying
-6t6 + 9t4 + -4t2 = 0

Reorder the terms:
-4t2 + 9t4 + -6t6 = 0

Solving
-4t2 + 9t4 + -6t6 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't2'.
t2(-4 + 9t2 + -6t4) = 0


Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Simplifying
t2 = 0

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

Subproblem 2
Set the factor '(-4 + 9t2 + -6t4)' equal to zero and attempt to solve:

Simplifying
-4 + 9t2 + -6t4 = 0

Solving
-4 + 9t2 + -6t4 = 0

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

Divide each side by '-6'.
0.6666666667 + -1.5t2 + t4 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -1.5t2 + -0.6666666667 + t4 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -1.5t2 + t4 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -1.5t2 + t4 = 0 + -0.6666666667
-1.5t2 + t4 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-1.5t2 + t4 = -0.6666666667

The t term is -1.5t2.  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.
-1.5t2 + 0.5625 + t4 = -0.6666666667 + 0.5625

Reorder the terms:
0.5625 + -1.5t2 + t4 = -0.6666666667 + 0.5625

Combine like terms: -0.6666666667 + 0.5625 = -0.1041666667
0.5625 + -1.5t2 + t4 = -0.1041666667

Factor a perfect square on the left side:
(t2 + -0.75)(t2 + -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
t = {0}

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