625r^4-81s^4=

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Solution for 625r^4-81s^4= equation: 


Simplifying
625r4 + -81s4 = 0

Solving
625r4 + -81s4 = 0

Solving for variable 'r'.

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

Add '81s4' to each side of the equation.
625r4 + -81s4 + 81s4 = 0 + 81s4

Combine like terms: -81s4 + 81s4 = 0
625r4 + 0 = 0 + 81s4
625r4 = 0 + 81s4
Remove the zero:
625r4 = 81s4

Divide each side by '625'.
r4 = 0.1296s4

Simplifying
r4 = 0.1296s4

Combine like terms: 0.1296s4 + -0.1296s4 = 0.0000
r4 + -0.1296s4 = 0.0000

Factor a difference between two squares.
(r2 + 0.36s2)(r2 + -0.36s2) = 0.0000

Factor a difference between two squares.
(r2 + 0.36s2)((r + 0.6s)(r + -0.6s)) = 0.0000


Subproblem 1
Set the factor '(r2 + 0.36s2)' equal to zero and attempt to solve:

Simplifying
r2 + 0.36s2 = 0

Solving
r2 + 0.36s2 = 0

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

Add '-0.36s2' to each side of the equation.
r2 + 0.36s2 + -0.36s2 = 0 + -0.36s2

Combine like terms: 0.36s2 + -0.36s2 = 0.00
r2 + 0.00 = 0 + -0.36s2
r2 = 0 + -0.36s2
Remove the zero:
r2 = -0.36s2

Simplifying
r2 = -0.36s2

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 '(r + 0.6s)' equal to zero and attempt to solve:

Simplifying
r + 0.6s = 0

Solving
r + 0.6s = 0

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

Add '-0.6s' to each side of the equation.
r + 0.6s + -0.6s = 0 + -0.6s

Combine like terms: 0.6s + -0.6s = 0.0
r + 0.0 = 0 + -0.6s
r = 0 + -0.6s
Remove the zero:
r = -0.6s

Simplifying
r = -0.6s

Subproblem 3
Set the factor '(r + -0.6s)' equal to zero and attempt to solve:

Simplifying
r + -0.6s = 0

Solving
r + -0.6s = 0

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

Add '0.6s' to each side of the equation.
r + -0.6s + 0.6s = 0 + 0.6s

Combine like terms: -0.6s + 0.6s = 0.0
r + 0.0 = 0 + 0.6s
r = 0 + 0.6s
Remove the zero:
r = 0.6s

Simplifying
r = 0.6s
Solution
r = {-0.6s, 0.6s}

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