6(r)=pir^2

Solution for 6(r)=pir^2 equation:

Simplifying
6(r) = pir2

Solving
6r = ipr2

Solving for variable 'r'.

Reorder the terms:
-1ipr2 + 6r = ipr2 + -1ipr2

Combine like terms: ipr2 + -1ipr2 = 0
-1ipr2 + 6r = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(-1ipr + 6) = 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 '(-1ipr + 6)' equal to zero and attempt to solve:

Simplifying
-1ipr + 6 = 0

Reorder the terms:
6 + -1ipr = 0

Solving
6 + -1ipr = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1ipr = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1ipr = 0 + -6
-1ipr = 0 + -6

Combine like terms: 0 + -6 = -6
-1ipr = -6

Divide each side by '-1ip'.
r = 6i-1p-1

Simplifying
r = 6i-1p-1
Solution
r = {0, 6i-1p-1}