5d^2+8d+3=0

Solution for 5d^2+8d+3=0 equation:

Simplifying
5d2 + 8d + 3 = 0

Reorder the terms:
3 + 8d + 5d2 = 0

Solving
3 + 8d + 5d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(1 + d)(3 + 5d) = 0

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

Simplifying
1 + d = 0

Solving
1 + d = 0

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

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

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

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

Simplifying
d = -1
Subproblem 2
Set the factor '(3 + 5d)' equal to zero and attempt to solve:

Simplifying
3 + 5d = 0

Solving
3 + 5d = 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 + 5d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5d = 0 + -3
5d = 0 + -3

Combine like terms: 0 + -3 = -3
5d = -3

Divide each side by '5'.
d = -0.6

Simplifying
d = -0.6
Solution
d = {-1, -0.6}