(2d+3)(3d-2)=

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

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

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

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

Multiply (3 + 2d) * (-2 + 3d)
(3(-2 + 3d) + 2d * (-2 + 3d)) = 0
((-2 * 3 + 3d * 3) + 2d * (-2 + 3d)) = 0
((-6 + 9d) + 2d * (-2 + 3d)) = 0
(-6 + 9d + (-2 * 2d + 3d * 2d)) = 0
(-6 + 9d + (-4d + 6d2)) = 0

Combine like terms: 9d + -4d = 5d
(-6 + 5d + 6d2) = 0

Solving
-6 + 5d + 6d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-3 + -2d)(2 + -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 '(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 = {-1.5, 0.6666666667}