r^1*x=r^2(n+x)

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Solution for r^1*x=r^2(n+x) equation: 


Simplifying
r * x = r2(n + x)

Multiply r * x
rx = r2(n + x)
rx = (n * r2 + x * r2)
rx = (nr2 + r2x)

Solving
rx = nr2 + r2x

Solving for variable 'r'.

Reorder the terms:
-1nr2 + rx + -1r2x = nr2 + r2x + -1nr2 + -1r2x

Reorder the terms:
-1nr2 + rx + -1r2x = nr2 + -1nr2 + r2x + -1r2x

Combine like terms: nr2 + -1nr2 = 0
-1nr2 + rx + -1r2x = 0 + r2x + -1r2x
-1nr2 + rx + -1r2x = r2x + -1r2x

Combine like terms: r2x + -1r2x = 0
-1nr2 + rx + -1r2x = 0

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

Simplifying
-1nr + x + -1rx = 0

Reorder the terms:
-1nr + -1rx + x = 0

Solving
-1nr + -1rx + x = 0

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

Add '-1x' to each side of the equation.
-1nr + -1rx + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
-1nr + -1rx + 0 = 0 + -1x
-1nr + -1rx = 0 + -1x
Remove the zero:
-1nr + -1rx = -1x

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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