d^2+11d=26

Solution for d^2+11d=26 equation:

Simplifying
d2 + 11d = 26

Reorder the terms:
11d + d2 = 26

Solving
11d + d2 = 26

Solving for variable 'd'.

Reorder the terms:
-26 + 11d + d2 = 26 + -26

Combine like terms: 26 + -26 = 0
-26 + 11d + d2 = 0

Factor a trinomial.
(-13 + -1d)(2 + -1d) = 0

Subproblem 1
Set the factor '(-13 + -1d)' equal to zero and attempt to solve:

Simplifying
-13 + -1d = 0

Solving
-13 + -1d = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1d = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1d = 0 + 13
-1d = 0 + 13

Combine like terms: 0 + 13 = 13
-1d = 13

Divide each side by '-1'.
d = -13

Simplifying
d = -13
Subproblem 2
Set the factor '(2 + -1d)' equal to zero and attempt to solve:

Simplifying
2 + -1d = 0

Solving
2 + -1d = 0

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

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

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

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

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

Simplifying
d = 2
Solution
d = {-13, 2}