16m^8-n^4=0

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Solution for 16m^8-n^4=0 equation: 


Simplifying
16m8 + -1n4 = 0

Solving
16m8 + -1n4 = 0

Solving for variable 'm'.

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

Add 'n4' to each side of the equation.
16m8 + -1n4 + n4 = 0 + n4

Combine like terms: -1n4 + n4 = 0
16m8 + 0 = 0 + n4
16m8 = 0 + n4
Remove the zero:
16m8 = n4

Divide each side by '16'.
m8 = 0.0625n4

Simplifying
m8 = 0.0625n4

Combine like terms: 0.0625n4 + -0.0625n4 = 0.0000
m8 + -0.0625n4 = 0.0000

Factor a difference between two squares.
(m4 + 0.25n2)(m4 + -0.25n2) = 0.0000

Factor a difference between two squares.
(m4 + 0.25n2)((m2 + 0.5n)(m2 + -0.5n)) = 0.0000


Subproblem 1
Set the factor '(m4 + 0.25n2)' equal to zero and attempt to solve:

Simplifying
m4 + 0.25n2 = 0

Solving
m4 + 0.25n2 = 0

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

Add '-0.25n2' to each side of the equation.
m4 + 0.25n2 + -0.25n2 = 0 + -0.25n2

Combine like terms: 0.25n2 + -0.25n2 = 0.00
m4 + 0.00 = 0 + -0.25n2
m4 = 0 + -0.25n2
Remove the zero:
m4 = -0.25n2

Simplifying
m4 = -0.25n2

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 '(m2 + 0.5n)' equal to zero and attempt to solve:

Simplifying
m2 + 0.5n = 0

Solving
m2 + 0.5n = 0

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

Add '-0.5n' to each side of the equation.
m2 + 0.5n + -0.5n = 0 + -0.5n

Combine like terms: 0.5n + -0.5n = 0.0
m2 + 0.0 = 0 + -0.5n
m2 = 0 + -0.5n
Remove the zero:
m2 = -0.5n

Simplifying
m2 = -0.5n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(m2 + -0.5n)' equal to zero and attempt to solve:

Simplifying
m2 + -0.5n = 0

Solving
m2 + -0.5n = 0

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

Add '0.5n' to each side of the equation.
m2 + -0.5n + 0.5n = 0 + 0.5n

Combine like terms: -0.5n + 0.5n = 0.0
m2 + 0.0 = 0 + 0.5n
m2 = 0 + 0.5n
Remove the zero:
m2 = 0.5n

Simplifying
m2 = 0.5n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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