7m^5=7m^3

Solution for 7m^5=7m^3 equation:

Simplifying
7m5 = 7m3

Solving
7m5 = 7m3

Solving for variable 'm'.

Reorder the terms:
-7m3 + 7m5 = 7m3 + -7m3

Combine like terms: 7m3 + -7m3 = 0
-7m3 + 7m5 = 0

Factor out the Greatest Common Factor (GCF), '7m3'.
7m3(-1 + m2) = 0

Factor a difference between two squares.
7m3((1 + m)(-1 + m)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 'm3' equal to zero and attempt to solve:

Simplifying
m3 = 0

Solving
m3 = 0

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

Simplifying
m3 = 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}