R^2+12=7R

Solution for R^2+12=7R equation:

Simplifying
R2 + 12 = 7R

Reorder the terms:
12 + R2 = 7R

Solving
12 + R2 = 7R

Solving for variable 'R'.

Reorder the terms:
12 + -7R + R2 = 7R + -7R

Combine like terms: 7R + -7R = 0
12 + -7R + R2 = 0

Factor a trinomial.
(3 + -1R)(4 + -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 '(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
Solution
R = {3, 4}