625k^4-256=

Solution for 625k^4-256= equation:

Simplifying
625k4 + -256 = 0

Reorder the terms:
-256 + 625k4 = 0

Solving
-256 + 625k4 = 0

Solving for variable 'k'.

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

Add '256' to each side of the equation.
-256 + 256 + 625k4 = 0 + 256

Combine like terms: -256 + 256 = 0
0 + 625k4 = 0 + 256
625k4 = 0 + 256

Combine like terms: 0 + 256 = 256
625k4 = 256

Divide each side by '625'.
k4 = 0.4096

Simplifying
k4 = 0.4096

Reorder the terms:
-0.4096 + k4 = 0.4096 + -0.4096

Combine like terms: 0.4096 + -0.4096 = 0.0000
-0.4096 + k4 = 0.0000

Factor a difference between two squares.
(0.64 + k2)(-0.64 + k2) = 0.0000

Factor a difference between two squares.
(0.64 + k2)((0.8 + k)(-0.8 + k)) = 0.0000

Subproblem 1
Set the factor '(0.64 + k2)' equal to zero and attempt to solve:

Simplifying
0.64 + k2 = 0

Solving
0.64 + k2 = 0

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

Add '-0.64' to each side of the equation.
0.64 + -0.64 + k2 = 0 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.00 + k2 = 0 + -0.64
k2 = 0 + -0.64

Combine like terms: 0 + -0.64 = -0.64
k2 = -0.64

Simplifying
k2 = -0.64

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 '(0.8 + k)' equal to zero and attempt to solve:

Simplifying
0.8 + k = 0

Solving
0.8 + k = 0

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + k = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + k = 0 + -0.8
k = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
k = -0.8

Simplifying
k = -0.8
Subproblem 3
Set the factor '(-0.8 + k)' equal to zero and attempt to solve:

Simplifying
-0.8 + k = 0

Solving
-0.8 + k = 0

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

Add '0.8' to each side of the equation.
-0.8 + 0.8 + k = 0 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + k = 0 + 0.8
k = 0 + 0.8

Combine like terms: 0 + 0.8 = 0.8
k = 0.8

Simplifying
k = 0.8
Solution
k = {-0.8, 0.8}