(8-d)(8-3d)=12

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Solution for (8-d)(8-3d)=12 equation: 


Simplifying
(8 + -1d)(8 + -3d) = 12

Multiply (8 + -1d) * (8 + -3d)
(8(8 + -3d) + -1d * (8 + -3d)) = 12
((8 * 8 + -3d * 8) + -1d * (8 + -3d)) = 12
((64 + -24d) + -1d * (8 + -3d)) = 12
(64 + -24d + (8 * -1d + -3d * -1d)) = 12
(64 + -24d + (-8d + 3d2)) = 12

Combine like terms: -24d + -8d = -32d
(64 + -32d + 3d2) = 12

Solving
64 + -32d + 3d2 = 12

Solving for variable 'd'.

Reorder the terms:
64 + -12 + -32d + 3d2 = 12 + -12

Combine like terms: 64 + -12 = 52
52 + -32d + 3d2 = 12 + -12

Combine like terms: 12 + -12 = 0
52 + -32d + 3d2 = 0

Factor a trinomial.
(2 + -1d)(26 + -3d) = 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 '(26 + -3d)' equal to zero and attempt to solve:

Simplifying
26 + -3d = 0

Solving
26 + -3d = 0

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

Add '-26' to each side of the equation.
26 + -26 + -3d = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -3d = 0 + -26
-3d = 0 + -26

Combine like terms: 0 + -26 = -26
-3d = -26

Divide each side by '-3'.
d = 8.666666667

Simplifying
d = 8.666666667
Solution
d = {2, 8.666666667}

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