16m^4-1=

Solution for 16m^4-1= equation:

Simplifying
16m4 + -1 = 0

Reorder the terms:
-1 + 16m4 = 0

Solving
-1 + 16m4 = 0

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 1 + 16m4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 16m4 = 0 + 1
16m4 = 0 + 1

Combine like terms: 0 + 1 = 1
16m4 = 1

Divide each side by '16'.
m4 = 0.0625

Simplifying
m4 = 0.0625

Reorder the terms:
-0.0625 + m4 = 0.0625 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
-0.0625 + m4 = 0.0000

Factor a difference between two squares.
(0.25 + m2)(-0.25 + m2) = 0.0000

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

Subproblem 1
Set the factor '(0.25 + m2)' equal to zero and attempt to solve:

Simplifying
0.25 + m2 = 0

Solving
0.25 + m2 = 0

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + m2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + m2 = 0 + -0.25
m2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
m2 = -0.25

Simplifying
m2 = -0.25

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

Simplifying
0.5 + m = 0

Solving
0.5 + m = 0

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

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

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + m = 0 + -0.5
m = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
m = -0.5

Simplifying
m = -0.5
Subproblem 3
Set the factor '(-0.5 + m)' equal to zero and attempt to solve:

Simplifying
-0.5 + m = 0

Solving
-0.5 + m = 0

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

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

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + m = 0 + 0.5
m = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
m = 0.5

Simplifying
m = 0.5
Solution
m = {-0.5, 0.5}