w(n)=4n-4findw(n-3)

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Solution for w(n)=4n-4findw(n-3) equation: 


Simplifying
w(n) = 4n + -4findw(n + -3)

Multiply w * n
nw = 4n + -4findw(n + -3)

Reorder the terms:
nw = 4n + -4dfinw(-3 + n)
nw = 4n + (-3 * -4dfinw + n * -4dfinw)
nw = 4n + (12dfinw + -4dfin2w)

Reorder the terms:
nw = 12dfinw + -4dfin2w + 4n

Solving
nw = 12dfinw + -4dfin2w + 4n

Solving for variable 'n'.

Reorder the terms:
-12dfinw + 4dfin2w + -4n + nw = 12dfinw + -4dfin2w + 4n + -12dfinw + 4dfin2w + -4n

Reorder the terms:
-12dfinw + 4dfin2w + -4n + nw = 12dfinw + -12dfinw + -4dfin2w + 4dfin2w + 4n + -4n

Combine like terms: 12dfinw + -12dfinw = 0
-12dfinw + 4dfin2w + -4n + nw = 0 + -4dfin2w + 4dfin2w + 4n + -4n
-12dfinw + 4dfin2w + -4n + nw = -4dfin2w + 4dfin2w + 4n + -4n

Combine like terms: -4dfin2w + 4dfin2w = 0
-12dfinw + 4dfin2w + -4n + nw = 0 + 4n + -4n
-12dfinw + 4dfin2w + -4n + nw = 4n + -4n

Combine like terms: 4n + -4n = 0
-12dfinw + 4dfin2w + -4n + nw = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-12dfiw + 4dfinw + -4 + w) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-12dfiw + 4dfinw + -4 + w)' equal to zero and attempt to solve:

Simplifying
-12dfiw + 4dfinw + -4 + w = 0

Reorder the terms:
-4 + 4dfinw + -12dfiw + w = 0

Solving
-4 + 4dfinw + -12dfiw + w = 0

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

Add '4' to each side of the equation.
-4 + 4dfinw + -12dfiw + 4 + w = 0 + 4

Reorder the terms:
-4 + 4 + 4dfinw + -12dfiw + w = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 4dfinw + -12dfiw + w = 0 + 4
4dfinw + -12dfiw + w = 0 + 4

Combine like terms: 0 + 4 = 4
4dfinw + -12dfiw + w = 4

Add '12dfiw' to each side of the equation.
4dfinw + -12dfiw + 12dfiw + w = 4 + 12dfiw

Combine like terms: -12dfiw + 12dfiw = 0
4dfinw + 0 + w = 4 + 12dfiw
4dfinw + w = 4 + 12dfiw

Add '-1w' to each side of the equation.
4dfinw + w + -1w = 4 + 12dfiw + -1w

Combine like terms: w + -1w = 0
4dfinw + 0 = 4 + 12dfiw + -1w
4dfinw = 4 + 12dfiw + -1w

Divide each side by '4dfiw'.
n = d-1f-1i-1w-1 + 3 + -0.25d-1f-1i-1

Simplifying
n = d-1f-1i-1w-1 + 3 + -0.25d-1f-1i-1

Reorder the terms:
n = 3 + -0.25d-1f-1i-1 + d-1f-1i-1w-1
Solution
n = {0, 3 + -0.25d-1f-1i-1 + d-1f-1i-1w-1}

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