2d^2-16d-1536=0

Solution for 2d^2-16d-1536=0 equation:

Simplifying
2d2 + -16d + -1536 = 0

Reorder the terms:
-1536 + -16d + 2d2 = 0

Solving
-1536 + -16d + 2d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-768 + -8d + d2) = 0

Factor a trinomial.
2((-24 + -1d)(32 + -1d)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-24 + -1d)' equal to zero and attempt to solve:

Simplifying
-24 + -1d = 0

Solving
-24 + -1d = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1d = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1d = 0 + 24
-1d = 0 + 24

Combine like terms: 0 + 24 = 24
-1d = 24

Divide each side by '-1'.
d = -24

Simplifying
d = -24
Subproblem 2
Set the factor '(32 + -1d)' equal to zero and attempt to solve:

Simplifying
32 + -1d = 0

Solving
32 + -1d = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1d = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1d = 0 + -32
-1d = 0 + -32

Combine like terms: 0 + -32 = -32
-1d = -32

Divide each side by '-1'.
d = 32

Simplifying
d = 32
Solution
d = {-24, 32}