f=4n(d+dz)forz

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Solution for f=4n(d+dz)forz equation: 


Simplifying
f = 4n(d + dz) * forz

Reorder the terms for easier multiplication:
f = 4n * forz(d + dz)

Multiply n * forz
f = 4fnorz(d + dz)
f = (d * 4fnorz + dz * 4fnorz)
f = (4dfnorz + 4dfnorz2)

Solving
f = 4dfnorz + 4dfnorz2

Solving for variable 'f'.

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

Add '-4dfnorz' to each side of the equation.
-4dfnorz + f = 4dfnorz + -4dfnorz + 4dfnorz2

Combine like terms: 4dfnorz + -4dfnorz = 0
-4dfnorz + f = 0 + 4dfnorz2
-4dfnorz + f = 4dfnorz2

Add '-4dfnorz2' to each side of the equation.
-4dfnorz + -4dfnorz2 + f = 4dfnorz2 + -4dfnorz2

Combine like terms: 4dfnorz2 + -4dfnorz2 = 0
-4dfnorz + -4dfnorz2 + f = 0

Factor out the Greatest Common Factor (GCF), 'f'.
f(-4dnorz + -4dnorz2 + 1) = 0


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

Simplifying
f = 0

Solving
f = 0

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

Simplifying
f = 0

Subproblem 2
Set the factor '(-4dnorz + -4dnorz2 + 1)' equal to zero and attempt to solve:

Simplifying
-4dnorz + -4dnorz2 + 1 = 0

Reorder the terms:
1 + -4dnorz + -4dnorz2 = 0

Solving
1 + -4dnorz + -4dnorz2 = 0

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

Add '-1' to each side of the equation.
1 + -4dnorz + -1 + -4dnorz2 = 0 + -1

Reorder the terms:
1 + -1 + -4dnorz + -4dnorz2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4dnorz + -4dnorz2 = 0 + -1
-4dnorz + -4dnorz2 = 0 + -1

Combine like terms: 0 + -1 = -1
-4dnorz + -4dnorz2 = -1

Add '4dnorz' to each side of the equation.
-4dnorz + 4dnorz + -4dnorz2 = -1 + 4dnorz

Combine like terms: -4dnorz + 4dnorz = 0
0 + -4dnorz2 = -1 + 4dnorz
-4dnorz2 = -1 + 4dnorz

Add '4dnorz2' to each side of the equation.
-4dnorz2 + 4dnorz2 = -1 + 4dnorz + 4dnorz2

Combine like terms: -4dnorz2 + 4dnorz2 = 0
0 = -1 + 4dnorz + 4dnorz2

Simplifying
0 = -1 + 4dnorz + 4dnorz2

The solution to this equation could not be determined.

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

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