(r)=pi(r)*2+5(pi)r

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Solution for (r)=pi(r)*2+5(pi)r equation: 


Simplifying
(r) = pi(r) * 2 + 5(pi) * r
r = pi(r) * 2 + 5(pi) * r

Reorder the terms for easier multiplication:
r = 2ip * r + 5(pi) * r

Multiply ip * r
r = 2ipr + 5(pi) * r

Multiply ip * r
r = 2ipr + 5ipr

Combine like terms: 2ipr + 5ipr = 7ipr
r = 7ipr

Solving
r = 7ipr

Solving for variable 'r'.

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

Add '-7ipr' to each side of the equation.
-7ipr + r = 7ipr + -7ipr

Combine like terms: 7ipr + -7ipr = 0
-7ipr + r = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(-7ip + 1) = 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 '(-7ip + 1)' equal to zero and attempt to solve:

Simplifying
-7ip + 1 = 0

Reorder the terms:
1 + -7ip = 0

Solving
1 + -7ip = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7ip = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7ip = 0 + -1
-7ip = 0 + -1

Combine like terms: 0 + -1 = -1
-7ip = -1

Add '7ip' to each side of the equation.
-7ip + 7ip = -1 + 7ip

Combine like terms: -7ip + 7ip = 0
0 = -1 + 7ip

Simplifying
0 = -1 + 7ip

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}

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