What is the answer to (x-4)((150)/x+9)=209 ?

The answer to (x-4)((150)/x+9)=209 is x=15,x=-40/9

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(x-4)((150)/x+9)=209

(x - 4) (\frac{150}{x} + 9) = 209

x = 15, x = - \frac{40}{9}

Decimal Notation

x = 15, x = - 4.44444 \dots

Solution steps

(x - 4) (\frac{150}{x} + 9) = 209

Simplify

(x - 4) (\frac{150}{x} + 9) : 9 x - \frac{600}{x} + 114

9 x - \frac{600}{x} + 114 = 209

Multiply both sides by

x

9 x^{2} - 600 + 114 x = 209 x

Solve

9 x^{2} - 600 + 114 x = 209 x : x = 15, x = - \frac{40}{9}

x = 15, x = - \frac{40}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 15, x = - \frac{40}{9}

\frac{3}{x + 1} = \frac{1}{6}

\frac{4}{x + 2} = \frac{6}{x - 6}

30 (\frac{1}{x} + \frac{1}{50}) = 1

\frac{- 1}{( x - 1 ) ^{2}} = 0

\frac{x - 1}{x + 6} - 3 = 5

What is the answer to (x-4)((150)/x+9)=209 ?
The answer to (x-4)((150)/x+9)=209 is x=15,x=-40/9
Solve for x: (x-4)((150)/x+9)=209
The solution is x=15,x=-40/9