-r^2+27r-26=

Solution for -r^2+27r-26= equation:

Simplifying
-1r2 + 27r + -26 = 0

Reorder the terms:
-26 + 27r + -1r2 = 0

Solving
-26 + 27r + -1r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-26 + r)(1 + -1r) = 0

Subproblem 1
Set the factor '(-26 + r)' equal to zero and attempt to solve:

Simplifying
-26 + r = 0

Solving
-26 + r = 0

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

Add '26' to each side of the equation.
-26 + 26 + r = 0 + 26

Combine like terms: -26 + 26 = 0
0 + r = 0 + 26
r = 0 + 26

Combine like terms: 0 + 26 = 26
r = 26

Simplifying
r = 26
Subproblem 2
Set the factor '(1 + -1r)' equal to zero and attempt to solve:

Simplifying
1 + -1r = 0

Solving
1 + -1r = 0

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

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

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

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

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

Simplifying
r = 1
Solution
r = {26, 1}