3d^2+19d+30=

Solution for 3d^2+19d+30= equation:

Simplifying
3d2 + 19d + 30 = 0

Reorder the terms:
30 + 19d + 3d2 = 0

Solving
30 + 19d + 3d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(10 + 3d)(3 + d) = 0

Subproblem 1
Set the factor '(10 + 3d)' equal to zero and attempt to solve:

Simplifying
10 + 3d = 0

Solving
10 + 3d = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3d = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3d = 0 + -10
3d = 0 + -10

Combine like terms: 0 + -10 = -10
3d = -10

Divide each side by '3'.
d = -3.333333333

Simplifying
d = -3.333333333
Subproblem 2
Set the factor '(3 + d)' equal to zero and attempt to solve:

Simplifying
3 + d = 0

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

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

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

Simplifying
d = -3
Solution
d = {-3.333333333, -3}