3r^2-18r+6=6

Solution for 3r^2-18r+6=6 equation:

Simplifying
3r2 + -18r + 6 = 6

Reorder the terms:
6 + -18r + 3r2 = 6

Add '-6' to each side of the equation.
6 + -18r + -6 + 3r2 = 6 + -6

Reorder the terms:
6 + -6 + -18r + 3r2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + -18r + 3r2 = 6 + -6
-18r + 3r2 = 6 + -6

Combine like terms: 6 + -6 = 0
-18r + 3r2 = 0

Solving
-18r + 3r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '3r'.
3r(-6 + r) = 0

Ignore the factor 3.
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 '(-6 + r)' equal to zero and attempt to solve:

Simplifying
-6 + r = 0

Solving
-6 + r = 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 + r = 0 + 6

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

Combine like terms: 0 + 6 = 6
r = 6

Simplifying
r = 6
Solution
r = {0, 6}