What is the answer to x-6/3 x+1-x+6/3 x-1=3x+2/((x-1))(x+3) ?

The answer to x-6/3 x+1-x+6/3 x-1=3x+2/((x-1))(x+3) is x= 1/6+i(sqrt(71))/6 ,x= 1/6-i(sqrt(71))/6

Solve for x: x-6/3 x+1-x+6/3 x-1=3x+2/((x-1))(x+3)

The solution is x= 1/6+i(sqrt(71))/6 ,x= 1/6-i(sqrt(71))/6

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x - \frac{6}{3} x + 1 - x + \frac{6}{3} x - 1 = 3 x + \frac{2}{( x - 1 )} (x + 3)

x = \frac{1}{6} + i \frac{71}{6}, x = \frac{1}{6} - i \frac{71}{6}

Solution steps

x - \frac{6}{3} x + 1 - x + \frac{6}{3} x - 1 = 3 x + \frac{2}{( x - 1 )} (x + 3)

Multiply by LCM

0 = 9 x (x - 1) + 6 (x + 3)

Solve

0 = 9 x (x - 1) + 6 (x + 3) : x = \frac{1}{6} + i \frac{71}{6}, x = \frac{1}{6} - i \frac{71}{6}

x = \frac{1}{6} + i \frac{71}{6}, x = \frac{1}{6} - i \frac{71}{6}

50 = \frac{0.0023}{x}

\frac{3}{4 x ( x )} = 60

2 x^{- 2} = 1

\frac{31}{3 ( 1 + 2 x )} = \frac{51}{2 ( 2 x - 1 )}

3750 = \frac{1225}{( 0.289 + \frac{0.1}{x} )}

What is the answer to x-6/3 x+1-x+6/3 x-1=3x+2/((x-1))(x+3) ?
The answer to x-6/3 x+1-x+6/3 x-1=3x+2/((x-1))(x+3) is x= 1/6+i(sqrt(71))/6 ,x= 1/6-i(sqrt(71))/6
Solve for x: x-6/3 x+1-x+6/3 x-1=3x+2/((x-1))(x+3)
The solution is x= 1/6+i(sqrt(71))/6 ,x= 1/6-i(sqrt(71))/6