What is the answer to (x+10)((1000)/x-5)=1000 ?

The answer to (x+10)((1000)/x-5)=1000 is x=-50,x=40

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(x+10)((1000)/x-5)=1000

(x + 10) (\frac{1000}{x} - 5) = 1000

x = - 50, x = 40

Solution steps

(x + 10) (\frac{1000}{x} - 5) = 1000

Simplify

(x + 10) (\frac{1000}{x} - 5) : - 5 x + \frac{10000}{x} + 950

- 5 x + \frac{10000}{x} + 950 = 1000

Multiply both sides by

x

- 5 x^{2} + 10000 + 950 x = 1000 x

Solve

- 5 x^{2} + 10000 + 950 x = 1000 x : x = - 50, x = 40

x = - 50, x = 40

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 50, x = 40

\frac{4}{v - 10} = \frac{11}{12}

\frac{1.5}{4.5} = \frac{3.5}{x}

\frac{- 9 x + 3}{3 x + 7} = - 2

(x + 1) (1 + \frac{1}{x + 3}) x = 0

\frac{2 x}{150 - x} = 50.2

What is the answer to (x+10)((1000)/x-5)=1000 ?
The answer to (x+10)((1000)/x-5)=1000 is x=-50,x=40
Solve for x: (x+10)((1000)/x-5)=1000
The solution is x=-50,x=40