What is the answer to 1/(x-3)+4/(2x+3)=1 ?

The answer to 1/(x-3)+4/(2x+3)=1 is x= 9/2 ,x=0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/(x-3)+4/(2x+3)=1

\frac{1}{x - 3} + \frac{4}{2 x + 3} = 1

x = \frac{9}{2}, x = 0

Decimal Notation

x = 4.5, x = 0

Solution steps

\frac{1}{x - 3} + \frac{4}{2 x + 3} = 1

Multiply by LCM

2 x + 3 + 4 (x - 3) = (x - 3) (2 x + 3)

Solve

2 x + 3 + 4 (x - 3) = (x - 3) (2 x + 3) : x = \frac{9}{2}, x = 0

x = \frac{9}{2}, x = 0

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{9}{2}, x = 0

\frac{2 x + 4}{2} - \frac{3 x}{x - 4} = x

\frac{3}{2} = \frac{13}{x} - \frac{2}{3}

\frac{5}{4 x + 3} = \frac{5}{4 x} + \frac{5}{3}

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

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

What is the answer to 1/(x-3)+4/(2x+3)=1 ?
The answer to 1/(x-3)+4/(2x+3)=1 is x= 9/2 ,x=0
Solve for x: 1/(x-3)+4/(2x+3)=1
The solution is x= 9/2 ,x=0