(-5+-1d)(2+-3d)=0

Solution for (-5+-1d)(2+-3d)=0 equation:

Simplifying
(-5 + -1d)(2 + -3d) = 0

Multiply (-5 + -1d) * (2 + -3d)
(-5(2 + -3d) + -1d * (2 + -3d)) = 0
((2 * -5 + -3d * -5) + -1d * (2 + -3d)) = 0
((-10 + 15d) + -1d * (2 + -3d)) = 0
(-10 + 15d + (2 * -1d + -3d * -1d)) = 0
(-10 + 15d + (-2d + 3d2)) = 0

Combine like terms: 15d + -2d = 13d
(-10 + 13d + 3d2) = 0

Solving
-10 + 13d + 3d2 = 0

Solving for variable 'd'.

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

Subproblem 1
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
Subproblem 2
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
Solution
d = {-5, 0.6666666667}