196-64m^4=

Solution for 196-64m^4= equation:

Simplifying
196 + -64m4 = 0

Solving
196 + -64m4 = 0

Solving for variable 'm'.

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

Add '-196' to each side of the equation.
196 + -196 + -64m4 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + -64m4 = 0 + -196
-64m4 = 0 + -196

Combine like terms: 0 + -196 = -196
-64m4 = -196

Divide each side by '-64'.
m4 = 3.0625

Simplifying
m4 = 3.0625

Reorder the terms:
-3.0625 + m4 = 3.0625 + -3.0625

Combine like terms: 3.0625 + -3.0625 = 0.0000
-3.0625 + m4 = 0.0000

Factor a difference between two squares.
(1.75 + m2)(-1.75 + m2) = 0.0000

Subproblem 1
Set the factor '(1.75 + m2)' equal to zero and attempt to solve:

Simplifying
1.75 + m2 = 0

Solving
1.75 + m2 = 0

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

Add '-1.75' to each side of the equation.
1.75 + -1.75 + m2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + m2 = 0 + -1.75
m2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
m2 = -1.75

Simplifying
m2 = -1.75

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 '(-1.75 + m2)' equal to zero and attempt to solve:

Simplifying
-1.75 + m2 = 0

Solving
-1.75 + m2 = 0

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

Add '1.75' to each side of the equation.
-1.75 + 1.75 + m2 = 0 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + m2 = 0 + 1.75
m2 = 0 + 1.75

Combine like terms: 0 + 1.75 = 1.75
m2 = 1.75

Simplifying
m2 = 1.75

Take the square root of each side:
m = {-1.322875656, 1.322875656}
Solution
m = {-1.322875656, 1.322875656}