3m^4+9m^2-12=

Solution for 3m^4+9m^2-12= equation:

Simplifying
3m4 + 9m2 + -12 = 0

Reorder the terms:
-12 + 9m2 + 3m4 = 0

Solving
-12 + 9m2 + 3m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + 3m2 + m4) = 0

Factor a trinomial.
3((-4 + -1m2)(1 + -1m2)) = 0

Factor a difference between two squares.
3((-4 + -1m2)((1 + m)(1 + -1m))) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-4 + -1m2)' equal to zero and attempt to solve:

Simplifying
-4 + -1m2 = 0

Solving
-4 + -1m2 = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1m2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1m2 = 0 + 4
-1m2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1m2 = 4

Divide each side by '-1'.
m2 = -4

Simplifying
m2 = -4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 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 + m = 0 + -1

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

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

Simplifying
m = -1
Subproblem 3
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 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 + -1m = 0 + -1

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

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

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {-1, 1}