27x^6+45x^4+18x^2=

Solution for 27x^6+45x^4+18x^2= equation:

Simplifying
27x6 + 45x4 + 18x2 = 0

Reorder the terms:
18x2 + 45x4 + 27x6 = 0

Solving
18x2 + 45x4 + 27x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x2'.
9x2(2 + 5x2 + 3x4) = 0

Factor a trinomial.
9x2((1 + x2)(2 + 3x2)) = 0

Ignore the factor 9.
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 '(1 + x2)' equal to zero and attempt to solve:

Simplifying
1 + x2 = 0

Solving
1 + x2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x2 = 0 + -1
x2 = 0 + -1

Combine like terms: 0 + -1 = -1
x2 = -1

Simplifying
x2 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(2 + 3x2)' equal to zero and attempt to solve:

Simplifying
2 + 3x2 = 0

Solving
2 + 3x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x2 = 0 + -2
3x2 = 0 + -2

Combine like terms: 0 + -2 = -2
3x2 = -2

Divide each side by '3'.
x2 = -0.6666666667

Simplifying
x2 = -0.6666666667

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}