d^2+13d-14=0

Solution for d^2+13d-14=0 equation:

Simplifying
d2 + 13d + -14 = 0

Reorder the terms:
-14 + 13d + d2 = 0

Solving
-14 + 13d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-14 + -1d)(1 + -1d) = 0

Subproblem 1
Set the factor '(-14 + -1d)' equal to zero and attempt to solve:

Simplifying
-14 + -1d = 0

Solving
-14 + -1d = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1d = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1d = 0 + 14
-1d = 0 + 14

Combine like terms: 0 + 14 = 14
-1d = 14

Divide each side by '-1'.
d = -14

Simplifying
d = -14
Subproblem 2
Set the factor '(1 + -1d)' equal to zero and attempt to solve:

Simplifying
1 + -1d = 0

Solving
1 + -1d = 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 + -1d = 0 + -1

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

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

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

Simplifying
d = 1
Solution
d = {-14, 1}