d^2+2d-48=

Solution for d^2+2d-48= equation:

Simplifying
d2 + 2d + -48 = 0

Reorder the terms:
-48 + 2d + d2 = 0

Solving
-48 + 2d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-8 + -1d)(6 + -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 '(6 + -1d)' equal to zero and attempt to solve:

Simplifying
6 + -1d = 0

Solving
6 + -1d = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1d = 0 + -6
-1d = 0 + -6

Combine like terms: 0 + -6 = -6
-1d = -6

Divide each side by '-1'.
d = 6

Simplifying
d = 6
Solution
d = {-8, 6}