3d^2+7d+4=0

Solution for 3d^2+7d+4=0 equation:

Simplifying
3d2 + 7d + 4 = 0

Reorder the terms:
4 + 7d + 3d2 = 0

Solving
4 + 7d + 3d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(4 + 3d)(1 + d) = 0

Subproblem 1
Set the factor '(4 + 3d)' equal to zero and attempt to solve:

Simplifying
4 + 3d = 0

Solving
4 + 3d = 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 + 3d = 0 + -4

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

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

Divide each side by '3'.
d = -1.333333333

Simplifying
d = -1.333333333
Subproblem 2
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
Solution
d = {-1.333333333, -1}