d^2-14d-32=0

Solution for d^2-14d-32=0 equation:

Simplifying
d2 + -14d + -32 = 0

Reorder the terms:
-32 + -14d + d2 = 0

Solving
-32 + -14d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-2 + -1d)(16 + -1d) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(16 + -1d)' equal to zero and attempt to solve:

Simplifying
16 + -1d = 0

Solving
16 + -1d = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1d = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1d = 0 + -16
-1d = 0 + -16

Combine like terms: 0 + -16 = -16
-1d = -16

Divide each side by '-1'.
d = 16

Simplifying
d = 16
Solution
d = {-2, 16}