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

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

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

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

x = - 25, x = 20

Solution steps

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

Simplify

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

x^{- n - 1} = \frac{1}{x ^{n + 1}}

a, x = \frac{b}{2 a}

\frac{x ^{2} - 4}{x ^{2} + 3 x + 2} = 0

x, z = \frac{x + y}{m x}

\frac{x}{x - 6} + 3 = \frac{6}{x - 6}

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