28d^2=-96-184d

Solution for 28d^2=-96-184d equation:

Simplifying
28d2 = -96 + -184d

Solving
28d2 = -96 + -184d

Solving for variable 'd'.

Reorder the terms:
96 + 184d + 28d2 = -96 + -184d + 96 + 184d

Reorder the terms:
96 + 184d + 28d2 = -96 + 96 + -184d + 184d

Combine like terms: -96 + 96 = 0
96 + 184d + 28d2 = 0 + -184d + 184d
96 + 184d + 28d2 = -184d + 184d

Combine like terms: -184d + 184d = 0
96 + 184d + 28d2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(24 + 46d + 7d2) = 0

Factor a trinomial.
4((6 + d)(4 + 7d)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(6 + d)' equal to zero and attempt to solve:

Simplifying
6 + d = 0

Solving
6 + d = 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 + d = 0 + -6

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

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

Simplifying
d = -6
Subproblem 2
Set the factor '(4 + 7d)' equal to zero and attempt to solve:

Simplifying
4 + 7d = 0

Solving
4 + 7d = 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 + 7d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7d = 0 + -4
7d = 0 + -4

Combine like terms: 0 + -4 = -4
7d = -4

Divide each side by '7'.
d = -0.5714285714

Simplifying
d = -0.5714285714
Solution
d = {-6, -0.5714285714}