What is the answer to (3x)/2-2/(x-2)=x ?

The answer to (3x)/2-2/(x-2)=x is x=1+sqrt(5),x=1-sqrt(5)

Solve for x: (3x)/2-2/(x-2)=x

The solution is x=1+sqrt(5),x=1-sqrt(5)

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\frac{3 x}{2} - \frac{2}{x - 2} = x

x = 1 + 5, x = 1 - 5

Solution steps

\frac{3 x}{2} - \frac{2}{x - 2} = x

Multiply by LCM

3 x (x - 2) - 4 = x \cdot 2 (x - 2)

Solve

3 x (x - 2) - 4 = x \cdot 2 (x - 2) : x = 1 + 5, x = 1 - 5

x = 1 + 5, x = 1 - 5

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 1 + 5, x = 1 - 5

\frac{1}{x + 2} + 3 = \frac{13}{x + 2}

\frac{a}{b} = \frac{c}{x} + d

7 = \frac{- 5}{6 z - 23}

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

\frac{5 x - 7}{x - 1} = x + 1

What is the answer to (3x)/2-2/(x-2)=x ?
The answer to (3x)/2-2/(x-2)=x is x=1+sqrt(5),x=1-sqrt(5)
Solve for x: (3x)/2-2/(x-2)=x
The solution is x=1+sqrt(5),x=1-sqrt(5)