n=p(1+nr)forn

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Solution for n=p(1+nr)forn equation:


Simplifying
n = p(1 + nr) * forn

Reorder the terms for easier multiplication:
n = p * fnor(1 + nr)

Multiply p * fnor
n = fnopr(1 + nr)
n = (1 * fnopr + nr * fnopr)
n = (1fnopr + fn2opr2)

Solving
n = 1fnopr + fn2opr2

Solving for variable 'n'.

Reorder the terms:
-1fnopr + -1fn2opr2 + n = 1fnopr + fn2opr2 + -1fnopr + -1fn2opr2

Reorder the terms:
-1fnopr + -1fn2opr2 + n = 1fnopr + -1fnopr + fn2opr2 + -1fn2opr2

Combine like terms: 1fnopr + -1fnopr = 0
-1fnopr + -1fn2opr2 + n = 0 + fn2opr2 + -1fn2opr2
-1fnopr + -1fn2opr2 + n = fn2opr2 + -1fn2opr2

Combine like terms: fn2opr2 + -1fn2opr2 = 0
-1fnopr + -1fn2opr2 + n = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1fopr + -1fnopr2 + 1) = 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 '(-1fopr + -1fnopr2 + 1)' equal to zero and attempt to solve: Simplifying -1fopr + -1fnopr2 + 1 = 0 Reorder the terms: 1 + -1fnopr2 + -1fopr = 0 Solving 1 + -1fnopr2 + -1fopr = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1fnopr2 + -1 + -1fopr = 0 + -1 Reorder the terms: 1 + -1 + -1fnopr2 + -1fopr = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1fnopr2 + -1fopr = 0 + -1 -1fnopr2 + -1fopr = 0 + -1 Combine like terms: 0 + -1 = -1 -1fnopr2 + -1fopr = -1 Add 'fopr' to each side of the equation. -1fnopr2 + -1fopr + fopr = -1 + fopr Combine like terms: -1fopr + fopr = 0 -1fnopr2 + 0 = -1 + fopr -1fnopr2 = -1 + fopr Divide each side by '-1fopr2'. n = f-1o-1p-1r-2 + -1r-1 Simplifying n = f-1o-1p-1r-2 + -1r-1

Solution

n = {0, f-1o-1p-1r-2 + -1r-1}

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