What is the answer to (5k)/(k+2)+8/k =5 ?

The answer to (5k)/(k+2)+8/k =5 is k=8

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(5k)/(k+2)+8/k =5

\frac{5 k}{k + 2} + \frac{8}{k} = 5

k = 8

Solution steps

\frac{5 k}{k + 2} + \frac{8}{k} = 5

Multiply by LCM

5 k^{2} + 8 (k + 2) = 5 k (k + 2)

Expand

8 (k + 2) : 8 k + 16

5 k^{2} + 8 k + 16 = 5 k (k + 2)

Expand

5 k (k + 2) : 5 k^{2} + 10 k

5 k^{2} + 8 k + 16 = 5 k^{2} + 10 k

Move

16

to the right side

5 k^{2} + 8 k = 5 k^{2} + 10 k - 16

Subtract

5 k^{2} + 10 k

from both sides

5 k^{2} + 8 k - (5 k^{2} + 10 k) = 5 k^{2} + 10 k - 16 - (5 k^{2} + 10 k)

Simplify

- 2 k = - 16

Divide both sides by

- 2

k = 8

Verify Solutions

Find undefined (singularity) points:

k = - 2, k = 0

Combine undefined points with solutions:

k = 8

\frac{180 ( n - 2 )}{n} = 180

I, V = \frac{P}{I} + 20 I

\frac{0.5}{a} = 12

x^{2} - 3 + \frac{1}{x} = 0

\frac{1}{x} + \frac{2}{x} = - 3

What is the answer to (5k)/(k+2)+8/k =5 ?
The answer to (5k)/(k+2)+8/k =5 is k=8
Solve for k: (5k)/(k+2)+8/k =5
The solution is k=8