(r^2+5s)(r^2-5s)=

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Solution for (r^2+5s)(r^2-5s)= equation: 


Simplifying
(r2 + 5s)(r2 + -5s) = 0

Multiply (r2 + 5s) * (r2 + -5s)
(r2(r2 + -5s) + 5s * (r2 + -5s)) = 0
((r2 * r2 + -5s * r2) + 5s * (r2 + -5s)) = 0

Reorder the terms:
((-5r2s + r4) + 5s * (r2 + -5s)) = 0
((-5r2s + r4) + 5s * (r2 + -5s)) = 0
(-5r2s + r4 + (r2 * 5s + -5s * 5s)) = 0
(-5r2s + r4 + (5r2s + -25s2)) = 0

Reorder the terms:
(-5r2s + 5r2s + r4 + -25s2) = 0

Combine like terms: -5r2s + 5r2s = 0
(0 + r4 + -25s2) = 0
(r4 + -25s2) = 0

Solving
r4 + -25s2 = 0

Solving for variable 'r'.

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

Add '25s2' to each side of the equation.
r4 + -25s2 + 25s2 = 0 + 25s2

Combine like terms: -25s2 + 25s2 = 0
r4 + 0 = 0 + 25s2
r4 = 0 + 25s2
Remove the zero:
r4 = 25s2

Simplifying
r4 = 25s2

Combine like terms: 25s2 + -25s2 = 0
r4 + -25s2 = 0

Factor a difference between two squares.
(r2 + 5s)(r2 + -5s) = 0


Subproblem 1
Set the factor '(r2 + 5s)' equal to zero and attempt to solve:

Simplifying
r2 + 5s = 0

Solving
r2 + 5s = 0

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

Add '-5s' to each side of the equation.
r2 + 5s + -5s = 0 + -5s

Combine like terms: 5s + -5s = 0
r2 + 0 = 0 + -5s
r2 = 0 + -5s
Remove the zero:
r2 = -5s

Simplifying
r2 = -5s

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 + -5s)' equal to zero and attempt to solve:

Simplifying
r2 + -5s = 0

Solving
r2 + -5s = 0

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

Add '5s' to each side of the equation.
r2 + -5s + 5s = 0 + 5s

Combine like terms: -5s + 5s = 0
r2 + 0 = 0 + 5s
r2 = 0 + 5s
Remove the zero:
r2 = 5s

Simplifying
r2 = 5s

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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