64k^4-b^10=0

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Solution for 64k^4-b^10=0 equation: 


Simplifying
64k4 + -1b10 = 0

Reorder the terms:
-1b10 + 64k4 = 0

Solving
-1b10 + 64k4 = 0

Solving for variable 'b'.

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

Add '-64k4' to each side of the equation.
-1b10 + 64k4 + -64k4 = 0 + -64k4

Combine like terms: 64k4 + -64k4 = 0
-1b10 + 0 = 0 + -64k4
-1b10 = 0 + -64k4
Remove the zero:
-1b10 = -64k4

Divide each side by '-1'.
b10 = 64k4

Simplifying
b10 = 64k4

Combine like terms: 64k4 + -64k4 = 0
b10 + -64k4 = 0

Factor a difference between two squares.
(b5 + 8k2)(b5 + -8k2) = 0


Subproblem 1
Set the factor '(b5 + 8k2)' equal to zero and attempt to solve:

Simplifying
b5 + 8k2 = 0

Solving
b5 + 8k2 = 0

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

Add '-8k2' to each side of the equation.
b5 + 8k2 + -8k2 = 0 + -8k2

Combine like terms: 8k2 + -8k2 = 0
b5 + 0 = 0 + -8k2
b5 = 0 + -8k2
Remove the zero:
b5 = -8k2

Simplifying
b5 = -8k2

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 '(b5 + -8k2)' equal to zero and attempt to solve:

Simplifying
b5 + -8k2 = 0

Solving
b5 + -8k2 = 0

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

Add '8k2' to each side of the equation.
b5 + -8k2 + 8k2 = 0 + 8k2

Combine like terms: -8k2 + 8k2 = 0
b5 + 0 = 0 + 8k2
b5 = 0 + 8k2
Remove the zero:
b5 = 8k2

Simplifying
b5 = 8k2

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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