625b^4-t^4=

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Solution for 625b^4-t^4= equation: 


Simplifying
625b4 + -1t4 = 0

Solving
625b4 + -1t4 = 0

Solving for variable 'b'.

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

Add 't4' to each side of the equation.
625b4 + -1t4 + t4 = 0 + t4

Combine like terms: -1t4 + t4 = 0
625b4 + 0 = 0 + t4
625b4 = 0 + t4
Remove the zero:
625b4 = t4

Divide each side by '625'.
b4 = 0.0016t4

Simplifying
b4 = 0.0016t4

Combine like terms: 0.0016t4 + -0.0016t4 = 0.0000
b4 + -0.0016t4 = 0.0000

Factor a difference between two squares.
(b2 + 0.04t2)(b2 + -0.04t2) = 0.0000

Factor a difference between two squares.
(b2 + 0.04t2)((b + 0.2t)(b + -0.2t)) = 0.0000


Subproblem 1
Set the factor '(b2 + 0.04t2)' equal to zero and attempt to solve:

Simplifying
b2 + 0.04t2 = 0

Solving
b2 + 0.04t2 = 0

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

Add '-0.04t2' to each side of the equation.
b2 + 0.04t2 + -0.04t2 = 0 + -0.04t2

Combine like terms: 0.04t2 + -0.04t2 = 0.00
b2 + 0.00 = 0 + -0.04t2
b2 = 0 + -0.04t2
Remove the zero:
b2 = -0.04t2

Simplifying
b2 = -0.04t2

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 '(b + 0.2t)' equal to zero and attempt to solve:

Simplifying
b + 0.2t = 0

Solving
b + 0.2t = 0

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

Add '-0.2t' to each side of the equation.
b + 0.2t + -0.2t = 0 + -0.2t

Combine like terms: 0.2t + -0.2t = 0.0
b + 0.0 = 0 + -0.2t
b = 0 + -0.2t
Remove the zero:
b = -0.2t

Simplifying
b = -0.2t

Subproblem 3
Set the factor '(b + -0.2t)' equal to zero and attempt to solve:

Simplifying
b + -0.2t = 0

Solving
b + -0.2t = 0

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

Add '0.2t' to each side of the equation.
b + -0.2t + 0.2t = 0 + 0.2t

Combine like terms: -0.2t + 0.2t = 0.0
b + 0.0 = 0 + 0.2t
b = 0 + 0.2t
Remove the zero:
b = 0.2t

Simplifying
b = 0.2t
Solution
b = {-0.2t, 0.2t}

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