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

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


Simplifying
36m6 + 12m4 + m2 = 0

Reorder the terms:
m2 + 12m4 + 36m6 = 0

Solving
m2 + 12m4 + 36m6 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(1 + 12m2 + 36m4) = 0

Factor a trinomial.
m2((1 + 6m2)(1 + 6m2)) = 0


Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

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

Subproblem 2
Set the factor '(1 + 6m2)' equal to zero and attempt to solve:

Simplifying
1 + 6m2 = 0

Solving
1 + 6m2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 6m2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6m2 = 0 + -1
6m2 = 0 + -1

Combine like terms: 0 + -1 = -1
6m2 = -1

Divide each side by '6'.
m2 = -0.1666666667

Simplifying
m2 = -0.1666666667

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 '(1 + 6m2)' equal to zero and attempt to solve:

Simplifying
1 + 6m2 = 0

Solving
1 + 6m2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 6m2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6m2 = 0 + -1
6m2 = 0 + -1

Combine like terms: 0 + -1 = -1
6m2 = -1

Divide each side by '6'.
m2 = -0.1666666667

Simplifying
m2 = -0.1666666667

The solution to this equation could not be determined.

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

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