d^2-4d-96=0

Solution for d^2-4d-96=0 equation:

Simplifying
d2 + -4d + -96 = 0

Reorder the terms:
-96 + -4d + d2 = 0

Solving
-96 + -4d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-8 + -1d)(12 + -1d) = 0

Subproblem 1
Set the factor '(-8 + -1d)' equal to zero and attempt to solve:

Simplifying
-8 + -1d = 0

Solving
-8 + -1d = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1d = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1d = 0 + 8
-1d = 0 + 8

Combine like terms: 0 + 8 = 8
-1d = 8

Divide each side by '-1'.
d = -8

Simplifying
d = -8
Subproblem 2
Set the factor '(12 + -1d)' equal to zero and attempt to solve:

Simplifying
12 + -1d = 0

Solving
12 + -1d = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1d = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1d = 0 + -12
-1d = 0 + -12

Combine like terms: 0 + -12 = -12
-1d = -12

Divide each side by '-1'.
d = 12

Simplifying
d = 12
Solution
d = {-8, 12}