(d-5)(3d-2)=0

Solution for (d-5)(3d-2)=0 equation:

Simplifying
(d + -5)(3d + -2) = 0

Reorder the terms:
(-5 + d)(3d + -2) = 0

Reorder the terms:
(-5 + d)(-2 + 3d) = 0

Multiply (-5 + d) * (-2 + 3d)
(-5(-2 + 3d) + d(-2 + 3d)) = 0
((-2 * -5 + 3d * -5) + d(-2 + 3d)) = 0
((10 + -15d) + d(-2 + 3d)) = 0
(10 + -15d + (-2 * d + 3d * d)) = 0
(10 + -15d + (-2d + 3d2)) = 0

Combine like terms: -15d + -2d = -17d
(10 + -17d + 3d2) = 0

Solving
10 + -17d + 3d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(2 + -3d)(5 + -1d) = 0

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

Simplifying
2 + -3d = 0

Solving
2 + -3d = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3d = 0 + -2
-3d = 0 + -2

Combine like terms: 0 + -2 = -2
-3d = -2

Divide each side by '-3'.
d = 0.6666666667

Simplifying
d = 0.6666666667
Subproblem 2
Set the factor '(5 + -1d)' equal to zero and attempt to solve:

Simplifying
5 + -1d = 0

Solving
5 + -1d = 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 + -1d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1d = 0 + -5
-1d = 0 + -5

Combine like terms: 0 + -5 = -5
-1d = -5

Divide each side by '-1'.
d = 5

Simplifying
d = 5
Solution
d = {0.6666666667, 5}