(3r)r=8r

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Solution for (3r)r=8r equation: 


Simplifying
(3r) * r = 8r

Remove parenthesis around (3r)
3r * r = 8r

Multiply r * r
3r2 = 8r

Solving
3r2 = 8r

Solving for variable 'r'.

Reorder the terms:
-8r + 3r2 = 8r + -8r

Combine like terms: 8r + -8r = 0
-8r + 3r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(-8 + 3r) = 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 '(-8 + 3r)' equal to zero and attempt to solve:

Simplifying
-8 + 3r = 0

Solving
-8 + 3r = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3r = 0 + 8
3r = 0 + 8

Combine like terms: 0 + 8 = 8
3r = 8

Divide each side by '3'.
r = 2.666666667

Simplifying
r = 2.666666667
Solution
r = {0, 2.666666667}

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