(4m^6+6m^2-6)+(-4m^2+6+6m^6)=

Solution for (4m^6+6m^2-6)+(-4m^2+6+6m^6)= equation:

Simplifying
(4m6 + 6m2 + -6) + (-4m2 + 6 + 6m6) = 0

Reorder the terms:
(-6 + 6m2 + 4m6) + (-4m2 + 6 + 6m6) = 0

Remove parenthesis around (-6 + 6m2 + 4m6)
-6 + 6m2 + 4m6 + (-4m2 + 6 + 6m6) = 0

Reorder the terms:
-6 + 6m2 + 4m6 + (6 + -4m2 + 6m6) = 0

Remove parenthesis around (6 + -4m2 + 6m6)
-6 + 6m2 + 4m6 + 6 + -4m2 + 6m6 = 0

Reorder the terms:
-6 + 6 + 6m2 + -4m2 + 4m6 + 6m6 = 0

Combine like terms: -6 + 6 = 0
0 + 6m2 + -4m2 + 4m6 + 6m6 = 0
6m2 + -4m2 + 4m6 + 6m6 = 0

Combine like terms: 6m2 + -4m2 = 2m2
2m2 + 4m6 + 6m6 = 0

Combine like terms: 4m6 + 6m6 = 10m6
2m2 + 10m6 = 0

Solving
2m2 + 10m6 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m2'.
2m2(1 + 5m4) = 0

Ignore the factor 2.
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 + 5m4)' equal to zero and attempt to solve:

Simplifying
1 + 5m4 = 0

Solving
1 + 5m4 = 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 + 5m4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5m4 = 0 + -1
5m4 = 0 + -1

Combine like terms: 0 + -1 = -1
5m4 = -1

Divide each side by '5'.
m4 = -0.2

Simplifying
m4 = -0.2

The solution to this equation could not be determined.

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