r^2+12r+26=6

Solution for r^2+12r+26=6 equation:

Simplifying
r2 + 12r + 26 = 6

Reorder the terms:
26 + 12r + r2 = 6

Solving
26 + 12r + r2 = 6

Solving for variable 'r'.

Reorder the terms:
26 + -6 + 12r + r2 = 6 + -6

Combine like terms: 26 + -6 = 20
20 + 12r + r2 = 6 + -6

Combine like terms: 6 + -6 = 0
20 + 12r + r2 = 0

Factor a trinomial.
(10 + r)(2 + r) = 0

Subproblem 1
Set the factor '(10 + r)' equal to zero and attempt to solve:

Simplifying
10 + r = 0

Solving
10 + r = 0

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

Add '-10' to each side of the equation.
10 + -10 + r = 0 + -10

Combine like terms: 10 + -10 = 0
0 + r = 0 + -10
r = 0 + -10

Combine like terms: 0 + -10 = -10
r = -10

Simplifying
r = -10
Subproblem 2
Set the factor '(2 + r)' equal to zero and attempt to solve:

Simplifying
2 + r = 0

Solving
2 + r = 0

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

Add '-2' to each side of the equation.
2 + -2 + r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + r = 0 + -2
r = 0 + -2

Combine like terms: 0 + -2 = -2
r = -2

Simplifying
r = -2
Solution
r = {-10, -2}