r^2-20r-44=0

Solution for r^2-20r-44=0 equation:

Simplifying
r2 + -20r + -44 = 0

Reorder the terms:
-44 + -20r + r2 = 0

Solving
-44 + -20r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-2 + -1r)(22 + -1r) = 0

Subproblem 1
Set the factor '(-2 + -1r)' equal to zero and attempt to solve:

Simplifying
-2 + -1r = 0

Solving
-2 + -1r = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1r = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1r = 0 + 2
-1r = 0 + 2

Combine like terms: 0 + 2 = 2
-1r = 2

Divide each side by '-1'.
r = -2

Simplifying
r = -2
Subproblem 2
Set the factor '(22 + -1r)' equal to zero and attempt to solve:

Simplifying
22 + -1r = 0

Solving
22 + -1r = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1r = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1r = 0 + -22
-1r = 0 + -22

Combine like terms: 0 + -22 = -22
-1r = -22

Divide each side by '-1'.
r = 22

Simplifying
r = 22
Solution
r = {-2, 22}