s(r)=4(pi)r^2(8)

Solution for s(r)=4(pi)r^2(8) equation:

Simplifying
s(r) = 4(pi) * r2(8)

Multiply s * r
rs = 4(pi) * r2(8)

Reorder the terms for easier multiplication:
rs = 4 * 8ip * r2

Multiply 4 * 8
rs = 32ip * r2

Multiply ip * r2
rs = 32ipr2

Solving
rs = 32ipr2

Solving for variable 'r'.

Reorder the terms:
-32ipr2 + rs = 32ipr2 + -32ipr2

Combine like terms: 32ipr2 + -32ipr2 = 0
-32ipr2 + rs = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(-32ipr + s) = 0

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(-32ipr + s)' equal to zero and attempt to solve:

Simplifying
-32ipr + s = 0

Solving
-32ipr + s = 0

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

Add '-1s' to each side of the equation.
-32ipr + s + -1s = 0 + -1s

Combine like terms: s + -1s = 0
-32ipr + 0 = 0 + -1s
-32ipr = 0 + -1s
Remove the zero:
-32ipr = -1s

Divide each side by '-32ip'.
r = 0.03125i-1p-1s

Simplifying
r = 0.03125i-1p-1s
Solution
r = {0, 0.03125i-1p-1s}