48=-76d-16d^2

Solution for 48=-76d-16d^2 equation:

Simplifying
48 = -76d + -16d2

Solving
48 = -76d + -16d2

Solving for variable 'd'.

Reorder the terms:
48 + 76d + 16d2 = -76d + 76d + -16d2 + 16d2

Combine like terms: -76d + 76d = 0
48 + 76d + 16d2 = 0 + -16d2 + 16d2
48 + 76d + 16d2 = -16d2 + 16d2

Combine like terms: -16d2 + 16d2 = 0
48 + 76d + 16d2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(12 + 19d + 4d2) = 0

Factor a trinomial.
4((4 + d)(3 + 4d)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(4 + d)' equal to zero and attempt to solve:

Simplifying
4 + d = 0

Solving
4 + d = 0

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

Add '-4' to each side of the equation.
4 + -4 + d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + d = 0 + -4
d = 0 + -4

Combine like terms: 0 + -4 = -4
d = -4

Simplifying
d = -4
Subproblem 2
Set the factor '(3 + 4d)' equal to zero and attempt to solve:

Simplifying
3 + 4d = 0

Solving
3 + 4d = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4d = 0 + -3
4d = 0 + -3

Combine like terms: 0 + -3 = -3
4d = -3

Divide each side by '4'.
d = -0.75

Simplifying
d = -0.75
Solution
d = {-4, -0.75}