What is the answer to (x^2-16)/(x-4)=-x+7 ?

The answer to (x^2-16)/(x-4)=-x+7 is x= 3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x^2-16)/(x-4)=-x+7

\frac{x ^{2} - 16}{x - 4} = - x + 7

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

\frac{x ^{2} - 16}{x - 4} = - x + 7

Simplify

\frac{x ^{2} - 16}{x - 4} : x + 4

x + 4 = - x + 7

Move

4

to the right side

x = - x + 3

Move

x

to the left side

2 x = 3

Divide both sides by

2

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{3}{2}

\frac{5}{12} = \frac{45}{x}

x^{- 6} - 7 x^{- 3} - 8 = 0

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

\frac{40}{x} = \frac{2}{1}

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

What is the answer to (x^2-16)/(x-4)=-x+7 ?
The answer to (x^2-16)/(x-4)=-x+7 is x= 3/2
Solve for x: (x^2-16)/(x-4)=-x+7
The solution is x= 3/2