8-5(2d-4)used=8

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Solution for 8-5(2d-4)used=8 equation: 


Simplifying
8 + -5(2d + -4) * used = 8

Reorder the terms:
8 + -5(-4 + 2d) * used = 8

Reorder the terms for easier multiplication:
8 + -5desu(-4 + 2d) = 8
8 + (-4 * -5desu + 2d * -5desu) = 8
8 + (20desu + -10d2esu) = 8

Add '-8' to each side of the equation.
8 + 20desu + -8 + -10d2esu = 8 + -8

Reorder the terms:
8 + -8 + 20desu + -10d2esu = 8 + -8

Combine like terms: 8 + -8 = 0
0 + 20desu + -10d2esu = 8 + -8
20desu + -10d2esu = 8 + -8

Combine like terms: 8 + -8 = 0
20desu + -10d2esu = 0

Solving
20desu + -10d2esu = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '10desu'.
10desu(2 + -1d) = 0

Ignore the factor 10.

Subproblem 1
Set the factor 'desu' equal to zero and attempt to solve:

Simplifying
desu = 0

Solving
desu = 0

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

Simplifying
desu = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
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
Solution
d = {2}

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