(d-3)(d-1)=0

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

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

Reorder the terms:
(-3 + d)(d + -1) = 0

Reorder the terms:
(-3 + d)(-1 + d) = 0

Multiply (-3 + d) * (-1 + d)
(-3(-1 + d) + d(-1 + d)) = 0
((-1 * -3 + d * -3) + d(-1 + d)) = 0
((3 + -3d) + d(-1 + d)) = 0
(3 + -3d + (-1 * d + d * d)) = 0
(3 + -3d + (-1d + d2)) = 0

Combine like terms: -3d + -1d = -4d
(3 + -4d + d2) = 0

Solving
3 + -4d + d2 = 0

Solving for variable 'd'.

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

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

Simplifying
1 + -1d = 0

Solving
1 + -1d = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1d = 0 + -1

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

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

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

Simplifying
d = 1
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 = {1, 3}