r^2-12r+38=6

Solution for r^2-12r+38=6 equation:

Simplifying
r2 + -12r + 38 = 6

Reorder the terms:
38 + -12r + r2 = 6

Solving
38 + -12r + r2 = 6

Solving for variable 'r'.

Reorder the terms:
38 + -6 + -12r + r2 = 6 + -6

Combine like terms: 38 + -6 = 32
32 + -12r + r2 = 6 + -6

Combine like terms: 6 + -6 = 0
32 + -12r + r2 = 0

Factor a trinomial.
(4 + -1r)(8 + -1r) = 0

Subproblem 1
Set the factor '(4 + -1r)' equal to zero and attempt to solve:

Simplifying
4 + -1r = 0

Solving
4 + -1r = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1r = 0 + -4
-1r = 0 + -4

Combine like terms: 0 + -4 = -4
-1r = -4

Divide each side by '-1'.
r = 4

Simplifying
r = 4
Subproblem 2
Set the factor '(8 + -1r)' equal to zero and attempt to solve:

Simplifying
8 + -1r = 0

Solving
8 + -1r = 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 + -1r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 0 + -8
-1r = 0 + -8

Combine like terms: 0 + -8 = -8
-1r = -8

Divide each side by '-1'.
r = 8

Simplifying
r = 8
Solution
r = {4, 8}