R^2-14R+33=

Solution for R^2-14R+33= equation:

Simplifying
R2 + -14R + 33 = 0

Reorder the terms:
33 + -14R + R2 = 0

Solving
33 + -14R + R2 = 0

Solving for variable 'R'.

Factor a trinomial.
(3 + -1R)(11 + -1R) = 0

Subproblem 1
Set the factor '(3 + -1R)' equal to zero and attempt to solve:

Simplifying
3 + -1R = 0

Solving
3 + -1R = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1R = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1R = 0 + -3
-1R = 0 + -3

Combine like terms: 0 + -3 = -3
-1R = -3

Divide each side by '-1'.
R = 3

Simplifying
R = 3
Subproblem 2
Set the factor '(11 + -1R)' equal to zero and attempt to solve:

Simplifying
11 + -1R = 0

Solving
11 + -1R = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1R = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1R = 0 + -11
-1R = 0 + -11

Combine like terms: 0 + -11 = -11
-1R = -11

Divide each side by '-1'.
R = 11

Simplifying
R = 11
Solution
R = {3, 11}