6m^4-6=0

Solution for 6m^4-6=0 equation:

Simplifying
6m4 + -6 = 0

Reorder the terms:
-6 + 6m4 = 0

Solving
-6 + 6m4 = 0

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + 6 + 6m4 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 6m4 = 0 + 6
6m4 = 0 + 6

Combine like terms: 0 + 6 = 6
6m4 = 6

Divide each side by '6'.
m4 = 1

Simplifying
m4 = 1

Reorder the terms:
-1 + m4 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + m4 = 0

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

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

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

Simplifying
1 + m2 = 0

Solving
1 + m2 = 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 + m2 = 0 + -1

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

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

Simplifying
m2 = -1

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 + 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
Solution
m = {-1, 1}