d^2=-14d-13

Solution for d^2=-14d-13 equation:

Simplifying
d2 = -14d + -13

Reorder the terms:
d2 = -13 + -14d

Solving
d2 = -13 + -14d

Solving for variable 'd'.

Reorder the terms:
13 + 14d + d2 = -13 + -14d + 13 + 14d

Reorder the terms:
13 + 14d + d2 = -13 + 13 + -14d + 14d

Combine like terms: -13 + 13 = 0
13 + 14d + d2 = 0 + -14d + 14d
13 + 14d + d2 = -14d + 14d

Combine like terms: -14d + 14d = 0
13 + 14d + d2 = 0

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

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

Simplifying
13 + d = 0

Solving
13 + d = 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 + d = 0 + -13

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

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

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

Simplifying
1 + d = 0

Solving
1 + d = 0

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

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

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

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

Simplifying
d = -1
Solution
d = {-13, -1}