(d+6)(5d-4)=0

Solution for (d+6)(5d-4)=0 equation:

Simplifying
(d + 6)(5d + -4) = 0

Reorder the terms:
(6 + d)(5d + -4) = 0

Reorder the terms:
(6 + d)(-4 + 5d) = 0

Multiply (6 + d) * (-4 + 5d)
(6(-4 + 5d) + d(-4 + 5d)) = 0
((-4 * 6 + 5d * 6) + d(-4 + 5d)) = 0
((-24 + 30d) + d(-4 + 5d)) = 0
(-24 + 30d + (-4 * d + 5d * d)) = 0
(-24 + 30d + (-4d + 5d2)) = 0

Combine like terms: 30d + -4d = 26d
(-24 + 26d + 5d2) = 0

Solving
-24 + 26d + 5d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-6 + -1d)(4 + -5d) = 0

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

Simplifying
-6 + -1d = 0

Solving
-6 + -1d = 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 + -1d = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1d = 0 + 6
-1d = 0 + 6

Combine like terms: 0 + 6 = 6
-1d = 6

Divide each side by '-1'.
d = -6

Simplifying
d = -6
Subproblem 2
Set the factor '(4 + -5d)' equal to zero and attempt to solve:

Simplifying
4 + -5d = 0

Solving
4 + -5d = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5d = 0 + -4
-5d = 0 + -4

Combine like terms: 0 + -4 = -4
-5d = -4

Divide each side by '-5'.
d = 0.8

Simplifying
d = 0.8
Solution
d = {-6, 0.8}