What is the answer to (2x^2+x-15)/(x+3)=4 ?

The answer to (2x^2+x-15)/(x+3)=4 is x= 9/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2x^2+x-15)/(x+3)=4

\frac{2 x ^{2} + x - 15}{x + 3} = 4

x = \frac{9}{2}

Decimal Notation

x = 4.5

Solution steps

\frac{2 x ^{2} + x - 15}{x + 3} = 4

Simplify

\frac{2 x ^{2} + x - 15}{x + 3} : 2 x - 5

2 x - 5 = 4

Move

5

to the right side

2 x = 9

Divide both sides by

2

x = \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = \frac{9}{2}

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

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

\frac{20 - 3 x}{x} = 2 x

4 = \frac{2}{3} - \frac{9}{x}

6 = \frac{49 - 1}{d - 7}

What is the answer to (2x^2+x-15)/(x+3)=4 ?
The answer to (2x^2+x-15)/(x+3)=4 is x= 9/2
Solve for x: (2x^2+x-15)/(x+3)=4
The solution is x= 9/2