R^4-16r^2=0

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Solution for R^4-16r^2=0 equation: 


Simplifying
R4 + -16r2 = 0

Solving
R4 + -16r2 = 0

Solving for variable 'R'.

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

Add '16r2' to each side of the equation.
R4 + -16r2 + 16r2 = 0 + 16r2

Combine like terms: -16r2 + 16r2 = 0
R4 + 0 = 0 + 16r2
R4 = 0 + 16r2
Remove the zero:
R4 = 16r2

Simplifying
R4 = 16r2

Combine like terms: 16r2 + -16r2 = 0
R4 + -16r2 = 0

Factor a difference between two squares.
(R2 + 4r)(R2 + -4r) = 0


Subproblem 1
Set the factor '(R2 + 4r)' equal to zero and attempt to solve:

Simplifying
R2 + 4r = 0

Solving
R2 + 4r = 0

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

Add '-4r' to each side of the equation.
R2 + 4r + -4r = 0 + -4r

Combine like terms: 4r + -4r = 0
R2 + 0 = 0 + -4r
R2 = 0 + -4r
Remove the zero:
R2 = -4r

Simplifying
R2 = -4r

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 '(R2 + -4r)' equal to zero and attempt to solve:

Simplifying
R2 + -4r = 0

Solving
R2 + -4r = 0

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

Add '4r' to each side of the equation.
R2 + -4r + 4r = 0 + 4r

Combine like terms: -4r + 4r = 0
R2 + 0 = 0 + 4r
R2 = 0 + 4r
Remove the zero:
R2 = 4r

Simplifying
R2 = 4r

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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