4m^7=16m^5

Solution for 4m^7=16m^5 equation:

Simplifying
4m7 = 16m5

Solving
4m7 = 16m5

Solving for variable 'm'.

Reorder the terms:
-16m5 + 4m7 = 16m5 + -16m5

Combine like terms: 16m5 + -16m5 = 0
-16m5 + 4m7 = 0

Factor out the Greatest Common Factor (GCF), '4m5'.
4m5(-4 + m2) = 0

Factor a difference between two squares.
4m5((2 + m)(-2 + m)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'm5' equal to zero and attempt to solve:

Simplifying
m5 = 0

Solving
m5 = 0

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

Simplifying
m5 = 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 '(2 + m)' equal to zero and attempt to solve:

Simplifying
2 + m = 0

Solving
2 + m = 0

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

Add '-2' to each side of the equation.
2 + -2 + m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + m = 0 + -2
m = 0 + -2

Combine like terms: 0 + -2 = -2
m = -2

Simplifying
m = -2
Subproblem 3
Set the factor '(-2 + m)' equal to zero and attempt to solve:

Simplifying
-2 + m = 0

Solving
-2 + m = 0

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

Add '2' to each side of the equation.
-2 + 2 + m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + m = 0 + 2
m = 0 + 2

Combine like terms: 0 + 2 = 2
m = 2

Simplifying
m = 2
Solution
m = {-2, 2}