(3+2D)(4+3D)=0

Solution for (3+2D)(4+3D)=0 equation:

Simplifying
(3 + 2D)(4 + 3D) = 0

Multiply (3 + 2D) * (4 + 3D)
(3(4 + 3D) + 2D * (4 + 3D)) = 0
((4 * 3 + 3D * 3) + 2D * (4 + 3D)) = 0
((12 + 9D) + 2D * (4 + 3D)) = 0
(12 + 9D + (4 * 2D + 3D * 2D)) = 0
(12 + 9D + (8D + 6D2)) = 0

Combine like terms: 9D + 8D = 17D
(12 + 17D + 6D2) = 0

Solving
12 + 17D + 6D2 = 0

Solving for variable 'D'.

Factor a trinomial.
(3 + 2D)(4 + 3D) = 0

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

Simplifying
3 + 2D = 0

Solving
3 + 2D = 0

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

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

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

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

Divide each side by '2'.
D = -1.5

Simplifying
D = -1.5
Subproblem 2
Set the factor '(4 + 3D)' equal to zero and attempt to solve:

Simplifying
4 + 3D = 0

Solving
4 + 3D = 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 + 3D = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3D = 0 + -4
3D = 0 + -4

Combine like terms: 0 + -4 = -4
3D = -4

Divide each side by '3'.
D = -1.333333333

Simplifying
D = -1.333333333
Solution
D = {-1.5, -1.333333333}