What is the answer to (2x)/(x-2)=9+(25x^2)/(x-2) ?

The answer to (2x)/(x-2)=9+(25x^2)/(x-2) is x= 18/25 ,x=-1

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(2x)/(x-2)=9+(25x^2)/(x-2)

\frac{2 x}{x - 2} = 9 + \frac{25 x ^{2}}{x - 2}

x = \frac{18}{25}, x = - 1

Decimal

x = 0.72, x = - 1

Solution steps

\frac{2 x}{x - 2} = 9 + \frac{25 x ^{2}}{x - 2}

Multiply both sides by

x - 2

2 x = 9 (x - 2) + 25 x^{2}

Solve

2 x = 9 (x - 2) + 25 x^{2} : x = \frac{18}{25}, x = - 1

x = \frac{18}{25}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{18}{25}, x = - 1

\frac{x}{x + 1} = 2 (x + 1)^{2}

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

\frac{40}{d - 30} = \frac{50}{d - 20}

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

2.4 = 1 + \frac{0.08 \cdot g}{1.1 - g}

What is the answer to (2x)/(x-2)=9+(25x^2)/(x-2) ?
The answer to (2x)/(x-2)=9+(25x^2)/(x-2) is x= 18/25 ,x=-1
Solve for x: (2x)/(x-2)=9+(25x^2)/(x-2)
The solution is x= 18/25 ,x=-1