What is the answer to x-3=(3x^2+5)/(3x+1) ?

The answer to x-3=(3x^2+5)/(3x+1) is x=-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x-3=(3x^2+5)/(3x+1)

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

x = - 1

Solution steps

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

Multiply both sides by

3 x + 1

x (3 x + 1) - 3 (3 x + 1) = 3 x^{2} + 5

Expand

x (3 x + 1) : 3 x^{2} + x

3 x^{2} + x - 3 (3 x + 1) = 3 x^{2} + 5

Expand

- 3 (3 x + 1) : - 9 x - 3

3 x^{2} + x - 9 x - 3 = 3 x^{2} + 5

Add similar elements:

x - 9 x = - 8 x

3 x^{2} - 8 x - 3 = 3 x^{2} + 5

Move

3

to the right side

3 x^{2} - 8 x = 3 x^{2} + 8

Move

3 x^{2}

to the left side

- 8 x = 8

Divide both sides by

- 8

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{3}

Combine undefined points with solutions:

x = - 1

D, m = \frac{a}{D - 5 H}

\frac{5}{8} = \frac{3}{x}

\frac{12}{5} = \frac{24}{x}

\frac{5}{x} = 3

\frac{3 x + 8}{9 - x} = - 2

What is the answer to x-3=(3x^2+5)/(3x+1) ?
The answer to x-3=(3x^2+5)/(3x+1) is x=-1
Solve for x: x-3=(3x^2+5)/(3x+1)
The solution is x=-1