y^6+12y^4+36y^2=0

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Solution for y^6+12y^4+36y^2=0 equation: 


Simplifying
y6 + 12y4 + 36y2 = 0

Reorder the terms:
36y2 + 12y4 + y6 = 0

Solving
36y2 + 12y4 + y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(36 + 12y2 + y4) = 0

Factor a trinomial.
y2((6 + y2)(6 + y2)) = 0


Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

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

Subproblem 2
Set the factor '(6 + y2)' equal to zero and attempt to solve:

Simplifying
6 + y2 = 0

Solving
6 + y2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y2 = 0 + -6
y2 = 0 + -6

Combine like terms: 0 + -6 = -6
y2 = -6

Simplifying
y2 = -6

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 '(6 + y2)' equal to zero and attempt to solve:

Simplifying
6 + y2 = 0

Solving
6 + y2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y2 = 0 + -6
y2 = 0 + -6

Combine like terms: 0 + -6 = -6
y2 = -6

Simplifying
y2 = -6

The solution to this equation could not be determined.

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

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