(d-3)(d-2)=

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

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

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

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

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

Combine like terms: -3d + -2d = -5d
(6 + -5d + d2) = 0

Solving
6 + -5d + d2 = 0

Solving for variable 'd'.

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

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

Simplifying
2 + -1d = 0

Solving
2 + -1d = 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 + -1d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1d = 0 + -2
-1d = 0 + -2

Combine like terms: 0 + -2 = -2
-1d = -2

Divide each side by '-1'.
d = 2

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

Simplifying
3 + -1d = 0

Solving
3 + -1d = 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 + -1d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1d = 0 + -3
-1d = 0 + -3

Combine like terms: 0 + -3 = -3
-1d = -3

Divide each side by '-1'.
d = 3

Simplifying
d = 3
Solution
d = {2, 3}