n^4-49t^2=0

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Solution for n^4-49t^2=0 equation: 


Simplifying
n4 + -49t2 = 0

Solving
n4 + -49t2 = 0

Solving for variable 'n'.

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

Add '49t2' to each side of the equation.
n4 + -49t2 + 49t2 = 0 + 49t2

Combine like terms: -49t2 + 49t2 = 0
n4 + 0 = 0 + 49t2
n4 = 0 + 49t2
Remove the zero:
n4 = 49t2

Simplifying
n4 = 49t2

Combine like terms: 49t2 + -49t2 = 0
n4 + -49t2 = 0

Factor a difference between two squares.
(n2 + 7t)(n2 + -7t) = 0


Subproblem 1
Set the factor '(n2 + 7t)' equal to zero and attempt to solve:

Simplifying
n2 + 7t = 0

Solving
n2 + 7t = 0

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

Add '-7t' to each side of the equation.
n2 + 7t + -7t = 0 + -7t

Combine like terms: 7t + -7t = 0
n2 + 0 = 0 + -7t
n2 = 0 + -7t
Remove the zero:
n2 = -7t

Simplifying
n2 = -7t

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 '(n2 + -7t)' equal to zero and attempt to solve:

Simplifying
n2 + -7t = 0

Solving
n2 + -7t = 0

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

Add '7t' to each side of the equation.
n2 + -7t + 7t = 0 + 7t

Combine like terms: -7t + 7t = 0
n2 + 0 = 0 + 7t
n2 = 0 + 7t
Remove the zero:
n2 = 7t

Simplifying
n2 = 7t

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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