7d^2+13d+6=0

Solution for 7d^2+13d+6=0 equation:

Simplifying
7d2 + 13d + 6 = 0

Reorder the terms:
6 + 13d + 7d2 = 0

Solving
6 + 13d + 7d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(1 + d)(6 + 7d) = 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 '(6 + 7d)' equal to zero and attempt to solve:

Simplifying
6 + 7d = 0

Solving
6 + 7d = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7d = 0 + -6
7d = 0 + -6

Combine like terms: 0 + -6 = -6
7d = -6

Divide each side by '7'.
d = -0.8571428571

Simplifying
d = -0.8571428571
Solution
d = {-1, -0.8571428571}