What is the answer to 4/(x-2)-(15)/x =2 ?

The answer to 4/(x-2)-(15)/x =2 is x= 5/2 ,x=-6

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4/(x-2)-(15)/x =2

\frac{4}{x - 2} - \frac{15}{x} = 2

x = \frac{5}{2}, x = - 6

Decimal Notation

x = 2.5, x = - 6

Solution steps

\frac{4}{x - 2} - \frac{15}{x} = 2

Multiply by LCM

4 x - 15 (x - 2) = 2 x (x - 2)

Solve

4 x - 15 (x - 2) = 2 x (x - 2) : x = \frac{5}{2}, x = - 6

x = \frac{5}{2}, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Combine undefined points with solutions:

x = \frac{5}{2}, x = - 6

y, \frac{- 2 x - y}{x + 2 y} = 0

\frac{18}{x ^{2} - 3 x} + 2 = \frac{6}{x - 3}

\frac{7}{x} - \frac{3}{4 x} = 5

\frac{4 x + 3}{4} - \frac{2 x}{x + 1} = x

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

What is the answer to 4/(x-2)-(15)/x =2 ?
The answer to 4/(x-2)-(15)/x =2 is x= 5/2 ,x=-6
Solve for x: 4/(x-2)-(15)/x =2
The solution is x= 5/2 ,x=-6