What is the answer to 48=(48+2n)/n*n-4 ?

The answer to 48=(48+2n)/n*n-4 is n=2

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48=(48+2n)/n*n-4

48 = \frac{48 + 2 n}{n} \cdot n - 4

n = 2

Solution steps

48 = \frac{48 + 2 n}{n} n - 4

Move

4

to the left side

52 = \frac{48 + 2 n}{n} n

Simplify

\frac{48 + 2 n}{n} n : 48 + 2 n

52 = 48 + 2 n

Switch sides

48 + 2 n = 52

Move

48

to the right side

2 n = 4

Divide both sides by

2

n = 2

Verify Solutions

Find undefined (singularity) points:

n = 0

Combine undefined points with solutions:

n = 2

3 x + 2 (\frac{1}{x}) = 5

9 \cdot (\frac{1}{6 p})^{2} = 0

0 = \frac{8 - 2 x}{x - 2}

\frac{4.5}{x} = 0.0018

0.4 = \frac{6 x}{x ^{2} + 4}