9x^6+15x^4+12x^2=

Solution for 9x^6+15x^4+12x^2= equation:

Simplifying
9x6 + 15x4 + 12x2 = 0

Reorder the terms:
12x2 + 15x4 + 9x6 = 0

Solving
12x2 + 15x4 + 9x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(4 + 5x2 + 3x4) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(4 + 5x2 + 3x4)' equal to zero and attempt to solve:

Simplifying
4 + 5x2 + 3x4 = 0

Solving
4 + 5x2 + 3x4 = 0

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

Divide each side by '3'.
1.333333333 + 1.666666667x2 + x4 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 1.666666667x2 + -1.333333333 + x4 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 1.666666667x2 + x4 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 1.666666667x2 + x4 = 0 + -1.333333333
1.666666667x2 + x4 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
1.666666667x2 + x4 = -1.333333333

The x term is 1.666666667x2.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x2 + 0.6944444447 + x4 = -1.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x2 + x4 = -1.333333333 + 0.6944444447

Combine like terms: -1.333333333 + 0.6944444447 = -0.6388888883
0.6944444447 + 1.666666667x2 + x4 = -0.6388888883

Factor a perfect square on the left side:
(x2 + 0.8333333335)(x2 + 0.8333333335) = -0.6388888883

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
x = {0}