-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 out the Greatest Common Factor (GCF), '-1'.
-1(26 + 27r + r2) = 0

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

Ignore the factor -1.
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 + r)' equal to zero and attempt to solve:

Simplifying
1 + r = 0

Solving
1 + r = 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 + r = 0 + -1

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

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

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