(m^6)-(m^4)=0

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

Simplifying
(m6) + -1(m4) = 0
m6 + -1(m4) = 0

Reorder the terms:
-1m4 + m6 = 0

Solving
-1m4 + m6 = 0

Solving for variable 'm'.

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

Factor a difference between two squares.
m4((1 + m)(-1 + m)) = 0

Subproblem 1
Set the factor 'm4' equal to zero and attempt to solve:

Simplifying
m4 = 0

Solving
m4 = 0

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

Simplifying
m4 = 0

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}