R^2-14R+45=0

Solution for R^2-14R+45=0 equation:

Simplifying
R2 + -14R + 45 = 0

Reorder the terms:
45 + -14R + R2 = 0

Solving
45 + -14R + R2 = 0

Solving for variable 'R'.

Factor a trinomial.
(5 + -1R)(9 + -1R) = 0

Subproblem 1
Set the factor '(5 + -1R)' equal to zero and attempt to solve:

Simplifying
5 + -1R = 0

Solving
5 + -1R = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1R = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1R = 0 + -5
-1R = 0 + -5

Combine like terms: 0 + -5 = -5
-1R = -5

Divide each side by '-1'.
R = 5

Simplifying
R = 5
Subproblem 2
Set the factor '(9 + -1R)' equal to zero and attempt to solve:

Simplifying
9 + -1R = 0

Solving
9 + -1R = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1R = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1R = 0 + -9
-1R = 0 + -9

Combine like terms: 0 + -9 = -9
-1R = -9

Divide each side by '-1'.
R = 9

Simplifying
R = 9
Solution
R = {5, 9}