R^2-10R+24=0

Solution for R^2-10R+24=0 equation:

Simplifying
R2 + -10R + 24 = 0

Reorder the terms:
24 + -10R + R2 = 0

Solving
24 + -10R + R2 = 0

Solving for variable 'R'.

Factor a trinomial.
(4 + -1R)(6 + -1R) = 0

Subproblem 1
Set the factor '(4 + -1R)' equal to zero and attempt to solve:

Simplifying
4 + -1R = 0

Solving
4 + -1R = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1R = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1R = 0 + -4
-1R = 0 + -4

Combine like terms: 0 + -4 = -4
-1R = -4

Divide each side by '-1'.
R = 4

Simplifying
R = 4
Subproblem 2
Set the factor '(6 + -1R)' equal to zero and attempt to solve:

Simplifying
6 + -1R = 0

Solving
6 + -1R = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1R = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1R = 0 + -6
-1R = 0 + -6

Combine like terms: 0 + -6 = -6
-1R = -6

Divide each side by '-1'.
R = 6

Simplifying
R = 6
Solution
R = {4, 6}