7r^2-26r+20=5

Solution for 7r^2-26r+20=5 equation:

Simplifying
7r2 + -26r + 20 = 5

Reorder the terms:
20 + -26r + 7r2 = 5

Solving
20 + -26r + 7r2 = 5

Solving for variable 'r'.

Reorder the terms:
20 + -5 + -26r + 7r2 = 5 + -5

Combine like terms: 20 + -5 = 15
15 + -26r + 7r2 = 5 + -5

Combine like terms: 5 + -5 = 0
15 + -26r + 7r2 = 0

Factor a trinomial.
(5 + -7r)(3 + -1r) = 0

Subproblem 1
Set the factor '(5 + -7r)' equal to zero and attempt to solve:

Simplifying
5 + -7r = 0

Solving
5 + -7r = 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 + -7r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7r = 0 + -5
-7r = 0 + -5

Combine like terms: 0 + -5 = -5
-7r = -5

Divide each side by '-7'.
r = 0.7142857143

Simplifying
r = 0.7142857143
Subproblem 2
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
Solution
r = {0.7142857143, 3}