r^2+26r-4056=0

Solution for r^2+26r-4056=0 equation:

Simplifying
r2 + 26r + -4056 = 0

Reorder the terms:
-4056 + 26r + r2 = 0

Solving
-4056 + 26r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-78 + -1r)(52 + -1r) = 0

Subproblem 1
Set the factor '(-78 + -1r)' equal to zero and attempt to solve:

Simplifying
-78 + -1r = 0

Solving
-78 + -1r = 0

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

Add '78' to each side of the equation.
-78 + 78 + -1r = 0 + 78

Combine like terms: -78 + 78 = 0
0 + -1r = 0 + 78
-1r = 0 + 78

Combine like terms: 0 + 78 = 78
-1r = 78

Divide each side by '-1'.
r = -78

Simplifying
r = -78
Subproblem 2
Set the factor '(52 + -1r)' equal to zero and attempt to solve:

Simplifying
52 + -1r = 0

Solving
52 + -1r = 0

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

Add '-52' to each side of the equation.
52 + -52 + -1r = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -1r = 0 + -52
-1r = 0 + -52

Combine like terms: 0 + -52 = -52
-1r = -52

Divide each side by '-1'.
r = 52

Simplifying
r = 52
Solution
r = {-78, 52}