What is the answer to 3/(x+2)+(2x+3)/x =6 ?

The answer to 3/(x+2)+(2x+3)/x =6 is x=-3/2 ,x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3/(x+2)+(2x+3)/x =6

\frac{3}{x + 2} + \frac{2 x + 3}{x} = 6

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

Decimal Notation

x = - 1.5, x = 1

Solution steps

\frac{3}{x + 2} + \frac{2 x + 3}{x} = 6

Multiply by LCM

3 x + (2 x + 3) (x + 2) = 6 x (x + 2)

Solve

3 x + (2 x + 3) (x + 2) = 6 x (x + 2) : x = - \frac{3}{2}, x = 1

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

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

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

\frac{x - 5}{3 x} + 1 = \frac{x + 2}{x}

b, \frac{d}{b} = n^{3}

6 = \frac{2 π}{x}

\frac{6}{x - 3} + 9 = \frac{9}{x - 3}

x + \frac{1}{x} - 8 = 0

What is the answer to 3/(x+2)+(2x+3)/x =6 ?
The answer to 3/(x+2)+(2x+3)/x =6 is x=-3/2 ,x=1
Solve for x: 3/(x+2)+(2x+3)/x =6
The solution is x=-3/2 ,x=1