r^2=12-11r

Solution for r^2=12-11r equation:

Simplifying
r2 = 12 + -11r

Solving
r2 = 12 + -11r

Solving for variable 'r'.

Reorder the terms:
-12 + 11r + r2 = 12 + -11r + -12 + 11r

Reorder the terms:
-12 + 11r + r2 = 12 + -12 + -11r + 11r

Combine like terms: 12 + -12 = 0
-12 + 11r + r2 = 0 + -11r + 11r
-12 + 11r + r2 = -11r + 11r

Combine like terms: -11r + 11r = 0
-12 + 11r + r2 = 0

Factor a trinomial.
(-12 + -1r)(1 + -1r) = 0

Subproblem 1
Set the factor '(-12 + -1r)' equal to zero and attempt to solve:

Simplifying
-12 + -1r = 0

Solving
-12 + -1r = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1r = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1r = 0 + 12
-1r = 0 + 12

Combine like terms: 0 + 12 = 12
-1r = 12

Divide each side by '-1'.
r = -12

Simplifying
r = -12
Subproblem 2
Set the factor '(1 + -1r)' equal to zero and attempt to solve:

Simplifying
1 + -1r = 0

Solving
1 + -1r = 0

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

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

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

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

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

Simplifying
r = 1
Solution
r = {-12, 1}