(d-8)(d-2)=0

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Solution for (d-8)(d-2)=0 equation: 


Simplifying
(d + -8)(d + -2) = 0

Reorder the terms:
(-8 + d)(d + -2) = 0

Reorder the terms:
(-8 + d)(-2 + d) = 0

Multiply (-8 + d) * (-2 + d)
(-8(-2 + d) + d(-2 + d)) = 0
((-2 * -8 + d * -8) + d(-2 + d)) = 0
((16 + -8d) + d(-2 + d)) = 0
(16 + -8d + (-2 * d + d * d)) = 0
(16 + -8d + (-2d + d2)) = 0

Combine like terms: -8d + -2d = -10d
(16 + -10d + d2) = 0

Solving
16 + -10d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(2 + -1d)(8 + -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 '(8 + -1d)' equal to zero and attempt to solve:

Simplifying
8 + -1d = 0

Solving
8 + -1d = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1d = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1d = 0 + -8
-1d = 0 + -8

Combine like terms: 0 + -8 = -8
-1d = -8

Divide each side by '-1'.
d = 8

Simplifying
d = 8
Solution
d = {2, 8}

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