3d^2+14d+15=0

Solution for 3d^2+14d+15=0 equation:

Simplifying
3d2 + 14d + 15 = 0

Reorder the terms:
15 + 14d + 3d2 = 0

Solving
15 + 14d + 3d2 = 0

Solving for variable 'd'.

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

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

Simplifying
5 + 3d = 0

Solving
5 + 3d = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3d = 0 + -5

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

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

Divide each side by '3'.
d = -1.666666667

Simplifying
d = -1.666666667
Solution
d = {-3, -1.666666667}