(d-6)(d-2)=0

Solution for (d-6)(d-2)=0 equation:

Simplifying
(d + -6)(d + -2) = 0

Reorder the terms:
(-6 + d)(d + -2) = 0

Reorder the terms:
(-6 + d)(-2 + d) = 0

Multiply (-6 + d) * (-2 + d)
(-6(-2 + d) + d(-2 + d)) = 0
((-2 * -6 + d * -6) + d(-2 + d)) = 0
((12 + -6d) + d(-2 + d)) = 0
(12 + -6d + (-2 * d + d * d)) = 0
(12 + -6d + (-2d + d2)) = 0

Combine like terms: -6d + -2d = -8d
(12 + -8d + d2) = 0

Solving
12 + -8d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(2 + -1d)(6 + -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 '(6 + -1d)' equal to zero and attempt to solve:

Simplifying
6 + -1d = 0

Solving
6 + -1d = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1d = 0 + -6
-1d = 0 + -6

Combine like terms: 0 + -6 = -6
-1d = -6

Divide each side by '-1'.
d = 6

Simplifying
d = 6
Solution
d = {2, 6}