What is the answer to ((100)/x-1)(x+5)=100 ?

The answer to ((100)/x-1)(x+5)=100 is x=-25,x=20

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

((100)/x-1)(x+5)=100

(\frac{100}{x} - 1) (x + 5) = 100

x = - 25, x = 20

Solution steps

(\frac{100}{x} - 1) (x + 5) = 100

Simplify

(\frac{100}{x} - 1) (x + 5) : - x + \frac{500}{x} + 95

- x + \frac{500}{x} + 95 = 100

Multiply both sides by

x

- x^{2} + 500 + 95 x = 100 x

Solve

- x^{2} + 500 + 95 x = 100 x : x = - 25, x = 20

x = - 25, x = 20

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 25, x = 20

y, \frac{x - 2}{y} = z

x + \frac{2 x + 5}{x + 6} = 2

6.46 = \frac{0.5}{x}

\frac{5}{4 x} + \frac{x + 1}{x} = 2

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

What is the answer to ((100)/x-1)(x+5)=100 ?
The answer to ((100)/x-1)(x+5)=100 is x=-25,x=20
Solve for x: ((100)/x-1)(x+5)=100
The solution is x=-25,x=20