r^2=133-12r

Solution for r^2=133-12r equation:

Simplifying
r2 = 133 + -12r

Solving
r2 = 133 + -12r

Solving for variable 'r'.

Reorder the terms:
-133 + 12r + r2 = 133 + -12r + -133 + 12r

Reorder the terms:
-133 + 12r + r2 = 133 + -133 + -12r + 12r

Combine like terms: 133 + -133 = 0
-133 + 12r + r2 = 0 + -12r + 12r
-133 + 12r + r2 = -12r + 12r

Combine like terms: -12r + 12r = 0
-133 + 12r + r2 = 0

Factor a trinomial.
(-19 + -1r)(7 + -1r) = 0

Subproblem 1
Set the factor '(-19 + -1r)' equal to zero and attempt to solve:

Simplifying
-19 + -1r = 0

Solving
-19 + -1r = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1r = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1r = 0 + 19
-1r = 0 + 19

Combine like terms: 0 + 19 = 19
-1r = 19

Divide each side by '-1'.
r = -19

Simplifying
r = -19
Subproblem 2
Set the factor '(7 + -1r)' equal to zero and attempt to solve:

Simplifying
7 + -1r = 0

Solving
7 + -1r = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1r = 0 + -7
-1r = 0 + -7

Combine like terms: 0 + -7 = -7
-1r = -7

Divide each side by '-1'.
r = 7

Simplifying
r = 7
Solution
r = {-19, 7}