a=a+(n-4)d

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Solution for a=a+(n-4)d equation: 


Simplifying
a = a + (n + -4) * d

Reorder the terms:
a = a + (-4 + n) * d

Reorder the terms for easier multiplication:
a = a + d(-4 + n)
a = a + (-4 * d + n * d)
a = a + (-4d + dn)

Add '-1a' to each side of the equation.
a + -1a = a + -4d + -1a + dn

Combine like terms: a + -1a = 0
0 = a + -4d + -1a + dn

Reorder the terms:
0 = a + -1a + -4d + dn

Combine like terms: a + -1a = 0
0 = 0 + -4d + dn
0 = -4d + dn

Solving
0 = -4d + dn

Solving for variable 'd'.

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

Add '4d' to each side of the equation.
0 + 4d = -4d + 4d + dn
Remove the zero:
4d = -4d + 4d + dn

Combine like terms: -4d + 4d = 0
4d = 0 + dn
4d = dn

Add '-1dn' to each side of the equation.
4d + -1dn = dn + -1dn

Combine like terms: dn + -1dn = 0
4d + -1dn = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(4 + -1n) = 0


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

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve:

Simplifying
4 + -1n = 0

Solving
4 + -1n = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 0 + -4
-1n = 0 + -4

Combine like terms: 0 + -4 = -4
-1n = -4

Add 'n' to each side of the equation.
-1n + n = -4 + n

Combine like terms: -1n + n = 0
0 = -4 + n

Simplifying
0 = -4 + n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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