What is the answer to 5/(3n-8)= n/(n+2) ?

The answer to 5/(3n-8)= n/(n+2) is n=5,n=-2/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5/(3n-8)= n/(n+2)

\frac{5}{3 n - 8} = \frac{n}{n + 2}

n = 5, n = - \frac{2}{3}

Decimal Notation

n = 5, n = - 0.66666 \dots

Solution steps

\frac{5}{3 n - 8} = \frac{n}{n + 2}

Cross multiply

5 (n + 2) = (3 n - 8) n

Solve

5 (n + 2) = (3 n - 8) n : n = 5, n = - \frac{2}{3}

n = 5, n = - \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

n = \frac{8}{3}, n = - 2

Combine undefined points with solutions:

n = 5, n = - \frac{2}{3}

\frac{x ^{3} + 10 x ^{2} + 25 x}{x + 5} = 0

182. 5^{2} = \frac{1}{x} 0. 7^{3}

8 - \frac{7}{x ^{2} + 6 x} = \frac{x}{x + 6}

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

\frac{3}{7 x - 1} + \frac{1}{x} = 0

What is the answer to 5/(3n-8)= n/(n+2) ?
The answer to 5/(3n-8)= n/(n+2) is n=5,n=-2/3
Solve for n: 5/(3n-8)= n/(n+2)
The solution is n=5,n=-2/3