3d^2+7d+2=0

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

Simplifying
3d2 + 7d + 2 = 0

Reorder the terms:
2 + 7d + 3d2 = 0

Solving
2 + 7d + 3d2 = 0

Solving for variable 'd'.

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

Subproblem 1
Set the factor '(2 + d)' equal to zero and attempt to solve:

Simplifying
2 + d = 0

Solving
2 + d = 0

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

Add '-2' to each side of the equation.
2 + -2 + d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + d = 0 + -2
d = 0 + -2

Combine like terms: 0 + -2 = -2
d = -2

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

Simplifying
1 + 3d = 0

Solving
1 + 3d = 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 + 3d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3d = 0 + -1
3d = 0 + -1

Combine like terms: 0 + -1 = -1
3d = -1

Divide each side by '3'.
d = -0.3333333333

Simplifying
d = -0.3333333333
Solution
d = {-2, -0.3333333333}