(d+6)(5d+6)=0

Solution for (d+6)(5d+6)=0 equation:

Simplifying
(d + 6)(5d + 6) = 0

Reorder the terms:
(6 + d)(5d + 6) = 0

Reorder the terms:
(6 + d)(6 + 5d) = 0

Multiply (6 + d) * (6 + 5d)
(6(6 + 5d) + d(6 + 5d)) = 0
((6 * 6 + 5d * 6) + d(6 + 5d)) = 0
((36 + 30d) + d(6 + 5d)) = 0
(36 + 30d + (6 * d + 5d * d)) = 0
(36 + 30d + (6d + 5d2)) = 0

Combine like terms: 30d + 6d = 36d
(36 + 36d + 5d2) = 0

Solving
36 + 36d + 5d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(6 + d)(6 + 5d) = 0

Subproblem 1
Set the factor '(6 + d)' equal to zero and attempt to solve:

Simplifying
6 + d = 0

Solving
6 + d = 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 + d = 0 + -6

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

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

Simplifying
d = -6
Subproblem 2
Set the factor '(6 + 5d)' equal to zero and attempt to solve:

Simplifying
6 + 5d = 0

Solving
6 + 5d = 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 + 5d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5d = 0 + -6
5d = 0 + -6

Combine like terms: 0 + -6 = -6
5d = -6

Divide each side by '5'.
d = -1.2

Simplifying
d = -1.2
Solution
d = {-6, -1.2}